She had her "revelation" in 1866, and was knowledgeable about JS, BY, and the Kingdom of Zion, in all likelihood. The "restoration" or in her case, "rediscovery" of "original, but lost Christianity and the 'real' Jesus shows up among various pseudo-Christian cults. There's no determining what part was conscious appropriating from LDS, or just coincidental bad religious thinking.
Imitation or overlap? Eddy also stole (or "appropriated") things from other religious systems, such as Transcendentalism (which borrowed from Hinduism) and the Shakers. The Shakers' founder was called "Mother Lee," and Eddy was called "Mother Eddy" for a long while. And Mother Anna Lee came up with the term "Father-Mother God," which Eddy also used.
Well, the Reorganized Church, the Strangites and all the other "splinter" Mormon denominations. And the fundamentalist/polygamist sects.
Then there's the Trey Parker/Matt Stone "Book of Mormon" musical and their version of the Joseph Smith story on "South Park." And mentions in books by many different authors, like Mark Twain, Arthur Conan Doyle and Zane Grey. Characters in movies and TV... And so on.