No, yours is not the same family, although they very well could be related since both families were in Franklin Co. Elijah and Mary Jane had 4 children: William, James, Mary Frances, and John. Also, Elijah and Mary Jane were born in the 1830s.

I think TN is the key to finding Elijah's parents, but I don't know the county so it is like hunting a needle in a haystack.

Sorry I couldn't help.