You should be able to get some info on Tarver in Lebanon TN (Wilson CTY) locally from cnty records. There is also info on Lotus.net Tarver site. Lebanon has a street named after Tarver (the university avenue for Cumberland University).

My branch of the Travers came from Harselle ALa - Alxander Tarver - land grant after war of 1812 for soldiers.

I am in Nashville and a Tarver and travel Tarver Ave frequently. I think our tree may have originally caome from NC group and Virginia but have not been able to validate