From the link you give:The Indian Territory its Chiefs Legislators and Leading Men"-H.F.& E.S.O'Beirne-1892-Bio-Capt George W. Grayson-pg131
It looks like he also is a part of this line.(Stidham Clan----more--read-bio

Capt George W Grayson married the oldest living Daughter of the late G.W.Stidham, and was the Daughter of Paddy Carr, whose name is familiar in the history of the Cherokees.