Kelle - During my trip to the Kenton County library, which has limited Harrison County reference books, I found a reference to Jane Lemon. It was in the Harrison County, Kentucky Will Abstracts Book C, 1832-1836.
Will of John Adams, being sick and weak in body my Negro man Bartlett is to be set free wife: Barbara sons: James and John daughter: Jane Lemon grand-daughter: Mary Ann Adams, daughter of my son John executor: friend John Curry witnesses: James J. Ralston, Henry Y. elbert, John Zumwalt, Portuous Clarke written (no day given) Sept 1833; probated 19 October 1833 Book C, page 63
This is a different John than I'm looking for but is very likely a relative. I hope this helps.