The Tenneva Ramblers so named because they lived in the Tennessee/Virginia Area. They got together only a few weeks before the Bristol sessions of 1927. They teamed up with Rogers and then split over choice of name for the group on record.
More information is in the excellent Ralph Peer Biography by Barry Mazor.

I believe that Bear Family issued a box set of the complete Bristol Sessions which would include the track(s) sought by the OP.