Here are some quoted sources but, take care, Mormonism is full of conflicting doctrines. Certainly my clear understanding from the Brethren was that we were all the begotten spirit children of our HF, begotten after the manner of the flesh (sexual intercourse between God and one of his goddess wives). The difference between us and Jesus Christ was he was also begotten through sexual intercourse between God and Mary.
The actual GC quote I was looking for seems to have been removed because it does not come up on a search. But that is to be expected of such a truthful church.
Encyclopedia of Mormonism:
When the time came that His first-born, the Saviour, should come into the world and take a tabernacle, the Father came Himself and favoured that spirit with a tabernacle instead of letting any other man do it. The Saviour was begotten by the Father of His spirit, by the same Being who is the Father of our spirits, and that is all the organic difference between Jesus Christ and you and me (BY, JD 4:218)
This four-volume set is a treasure for Mormons. It contains numerous statements and teachings from LDS scholars and General Authorities. And it is sold in most LDS bookstores.
For the Latter-day Saints, the paternity of Jesus is not obscure. He was the literal, biological son of an immortal, tangible Father and Mary, a mortal woman... Jesus is the only person born who deserves the title "the Only Begotten Son of God. . . .(under the subject title: Jesus Christ, emphasis added).
Latter-day Saints recognize Jesus as literally the Only Begotten Son of God the Father in the flesh... This title signifies that Jesus' physical body was the offspring of a mortal mother and the eternal Father. . . . It is LDS doctrine that Jesus Christ is the child of Mary and God the Father, "not in violation of natural law but in accordance with a higher manifestation thereof (ibid., emphasis added).
From another source:-
In LDS theology, we were all spirit children procreated by sexual relations between the Father and His wives in heaven before coming to earth. After which we were then sent to earth to receive bodies. However, the Mormons assert, Jesus was not only the firstborn spirit child, (His brother Lucifer being the second) but He was also the only physical offspring on earth, of Mary and God the Father. This is why Mormons refer to Jesus as "the Only Begotten in the flesh."
From Orson Pratt (apostle):-
LDS Apostle Orson Pratt:
it was the personage of the Father who begat the body of Jesus; and for this reason Jesus is called the Only-Begotten of the Father; that is, the only one in this world whose fleshly body was begotten by the Father. There were millions of sons and daughters whom He begat before the foundation of the world, but they were spirits, and not bodies of flesh and bones; whereas both the spirit and body of Jesus were begotten by the Father... The fleshly body of Jesus required a Mother as well as a Father. Therefore, the Father and Mother of Jesus, according to the flesh, must have been associated together in the capacity of Husband and Wife; hence the Virgin Mary must have been, for the time being, the lawful wife of God the Father. . . .
He had a lawful right to over- shadow the Virgin Mary in the capacity of a husband, and beget a Son, although she was espoused to another; for the law which He gave to govern men and women was not intended to govern Himself, or to prescribe rules for his own conduct. It was also lawful in Him, after having thus dealt with Mary, to give Mary to Joseph her espoused husband. Whether God the Father gave Mary to Joseph for time only, or for time and eternity, we are not informed. Inasmuch as God was the first husband to her, it may be that He only gave her to be the wife of Joseph while in this mortal state, and that He intended after the resurrection to again take her as one of his own wives to raise up immortal spirits in eternity (Orson Pratt, The Seer, 158; emphasis added).
LDS Apostle Heber Kimball:
I will say that I was naturally begotten; so was my father, and also my Saviour Jesus Christ. According to the Scriptures, he is the first begotten of his father in the flesh, and there was nothing unnatural about it" (JD, 8:211; emphasis added).
Tenth President of the LDS Church, Joseph Fielding Smith:
THE FIRSTBORN. Our Father in heaven is the Father of Jesus Christ, both in the spirit and in the flesh. . . . CHRIST NOT BEGOTTEN OF THE HOLY GHOST. I believe firmly that Jesus Christ is the Only Begotten Son of God in the flesh. He taught this doctrine to his disciples. He did not teach them that He was the Son of the Holy Ghost, but the Son of the Father... Christ was begotten of God. He was not born without the aid of Man, and that Man was God!" (Doctrines of Salvation, 1:18; emphasis added; caps. theirs).
LDS Apostle, scholar and prolific writer, Bruce R. McConkie:
These name-titles all signify that our Lord is the only Son of the Father in the flesh. Each of the words is to be understood literally. Only means only; Begotten means begotten; and Son means son. Christ was begotten by an Immortal Father in the same way that mortal men are begotten by mortal fathers (Mormon Doctrine, 546-47; emphasis added).
Begotten in the same way as mortal men? In this same book McConkie declares:
God the Father is a perfected, glorified holy Man, an immortal Personage. And Christ was born into the world as the literal Son of this Holy Being; he was born in the same personal, real, and literal sense that any mortal son is born to a mortal father. There is nothing figurative about his paternity; he was begotten, conceived and born in the normal and natural course of events, for he is the Son of God, and that designation means what it says (742)
In his book: The Mortal Messiah, McConkie utilizes the same term Talmage uses: "Sire." McConkie writes:
She [Mary] shall conceive by the power of the Holy Ghost, and God himself shall be the sire. It is his Son of whom Gabriel is speaking. A son is begotten by a father: whether on earth or in heaven it is the same (1:319; emphasis added)
Family Home Evenings:
The Mormon Church also provides publications designed for the family. One such publication is: Family Home Evenings, copyrighted by the Corporation President of the Church of Jesus Christ of Latter-day Saints. This booklet clearly represents the LDS view:
We must come down to the simple fact that God Almighty was the Father of His Son Jesus Christ. Mary, the virgin girl, who had never known mortal man, was his mother. God by her begot his Son Jesus Christ, and he was born into the world with power and intelligence like that of His Father... Now, my little friends, I will repeat again in words as simple as I can, and you talk to your parents about it, that God, the Eternal Father, is literally the father of Jesus Christ (125-126; 1972 ed. emphasis added).
Following this statement there is some pictorial artwork to help explain this doctrine to children. A figure of a man is drawn and under the man the title "Daddy" is placed and next to him a drawing of a woman with the title "Mommy" underneath. In between the figures "Daddy" and "Mommy" there is a + sign. From these two figures, pointing down, there are two arrows pointing to a drawing of a child with the title "You" underneath. Obviously, this diagram teaches children how they are conceived. Right below this diagram, there is another drawing. It's the same diagram but the titles are changed. The title "Our Heavenly Father" is in place of the "Daddy" and the title "Mary" are in place of the "Mommy." And guess who is in the place of the child figure titled "You?"----you got it-- "Jesus."
•“We believe absolutely that Jesus Christ is the Son of God, begotten of God, the first-born in the spirit and the only begotten in the flesh; that He is the Son of God just as much as you and I are the sons of our fathers” (Heber J. Grant, “Analysis of the Articles of Faith,” Millennial Star, 5 Jan. 1922, 2).
However, TSCC now tries to distance itself from its official teachings, as contained in their scriptures and taught by their prophets. Now they teach a different version of "begotten" on
https://www.lds.org/scriptures/gs/begottenTo be born. To beget is to give birth, to procreate, or to call into being. In the scriptures, these words are often used to mean being born of God. Although Jesus Christ is the only child begotten of the Father in mortality, all people may be spiritually begotten of Christ by accepting him, obeying his commandments, and becoming new persons through the power of the Holy Ghost.
The same site confirms the first line above re "procreate" and being literal sons and daughters
https://www.lds.org/scriptures/gs/sons-and-daughters-of-god?lang=engSONS AND DAUGHTERS OF GOD
See also Atone, Atonement; Begotten; Born Again, Born of God; Children of Christ; Man, Men
The scriptures use these terms in two ways. In one sense, we are all literal spirit children of our Heavenly Father. In another sense, God’s sons and daughters are those who have been born again through the atonement of Christ.
Most apologists try to deny the literal begetting (sexual intercourse) but this one actually likes the idea:-
I will confess, however, that I actually like this idea. Maybe it is because I have a streak of old fashioned Mormonism somewhere inside me. But I find it appealing on several levels. First, there is a certain naturalism to the idea. I presume the mortal Jesus had 46 chromosomes, and that 23 came from Mary, but where did the other 23 come from? As a Mormon, I’m not big on the idea that they were created ex nihilo for this specific purpose. I like being able to say that Jesus really did have a father, not in a metaphorical sense only (the language of begetting in the creeds doesn’t mean literal begetting), but in a physical sense. He really was the Son of God.
I also find it fascinating that people see this idea as being so totally offensive. To me, that speaks not only to our radically different conception of God and man as being of the same species, our literalist notion of divine paternalism and our radical materialism, but also to our Puritan heritage. If it is so disgusting to suggest God sired a son by sexual intercourse, why, I wonder, did God ordain that to be the natural method by which we conceive our own children? Is that just some sort of a cosmic joke? Does God sit in yonder heavens and look down on his creatures and laugh at their disgusting and dirty and ridiculous actions? Isn’t it possible that, if God ordained sexual intercourse as the means by which we create children, that it is divinely appointed and not disgusting or dirty at all?
http://timesandseasons.org/index.php/2005/03/the-sexual-generation-of-jesus/God the Father is a perfected, glorified, holy Man, an immortal Personage. And Christ was born into the world as the literal Son of this Holy Being; he was born in the same personal, real, and literal sense that any mortal son is born to a mortal father. There is nothing figurative about his paternity; he was begotten, conceived and born in the normal and natural course of events, for he is the Son of God, and that designation means what it says. (1 Ne. 11.) (Bruce R. McConkie, Mormon Doctrine, p.742 “Son Of God"
God the Father has a body of flesh and bones, (Doctrine and Covenants, 130:22); God is married to his goddess wife and has spirit children, (Mormon Doctrine p. 516); We were first begotten as spirit children in heaven and then born naturally on earth, (Journal of Discourse, Vol. 4, p. 218).