Well, I should be related to your family on the Rigsby side, but I don't yet know exactly how. Your Rigsbys go back to a Thomas who was born about 1760, first shows up in Mecklenburg Co NC, and moves to Warren Co TN around 1800. My Rigsbys go back to a James who was born about 1755, first shows up in Wake Co NC where he dies before 1800, and whose widow and family moved to Warren Co KY about 1812. Descendants of your Thomas frequently live near descendants of my James, so I think they must be closely related. My guess is that they are first or second cousins.
I think all the Rigsbys in the US eventually go back to a single family in England, and my long-term goal is to show this is true. So far DNA confirms this theory.
I gave the wrong link for William Tilden Rigsby in my last message. He is actually at: