There is a White Stone Baptist Church Cemetery listed in White Stone, Lancaster Co, VA, on find a grave. There are quite a few memorials there with surname of George, but I don't see your James Harrison George listed - although that doesn't mean he is not there, may not yet have a memorial.
Do you know his birth and/or death date? Wife's name? If you provide that information, possibly someone could help identify where he is buried.
Good luck with your search.