The Bruner book of the 1920's in the SUPPLEMENT section has a Pinkney Shaw Binford dying in 1885 Silver City, New Mexico.Try the 1880 census and see what you find.The book said he had a wife and no children (as of the 1920's book).
Pinkney's parents settled in Hickman, KY from TN???also try Fulton Co.
I Hope this isn't a repeat from the last time we chatted. Wish you luck in your search.