If he was, it was a long way back. His father,Sterling Gresham, was born in Va and died in Lowndes Co., Ala. His grandfather, Lumpkin Gresham, was born in King & Queen Co., Va. I think Col Walter Gresham of Galveston, Texas was one of the Briar Hill, K & Q Co., Va., Greshams.
I am sure he did not know Walter.