Do you have the George Rogers Bible Record that is in the Columbiana County, Ohio & Vicinity Bible Records, Volume I? If not, you can contact the Columbiana Co. Genealogical Society.
I am researching the James Rogers family in Unity twp. and they could be related to George Rogers line, but I have yet to find a link. James and Elizabeth Rogers bought land in Unity twp. in 1806 and it was passed on to their son Thomas, then to his son William, and then to his son James S. Rogers who lived on the land until his death in 1935. My Rogers came from Northern Ireland.