One has to be careful in tracking George.There are several George W Rochesters in the SC, GA AL area at the same time. Below is a possiblity of George as I see it.
G.W. (male) 11 1860 GA Clayton J.F SC George 19 1870 GA Fayette Jordon Lord GA George 28 1880 AL Cherokee head SC George W (head) 69 1920 AL Jackson head GA
The father of this George is J.F from SC.This J. F is james F, son of Nicholas in Pickens Co SC in 1850.At this point there is a loose end, but I think he is the son of William.If so, he can be tracked back to England in Anne Sheriff's book ROCHESTER FAMILY HISTORY.William and Nathaniel of Rochester NY have common ancestors.I also am working on a book which has mostly census data called ROCHESTERS AND THEIR DESCENDENTS FROM THE CAROLINAS, 1790 - 1930.If you are interested in either of these two books, send me an e-mail and I will get you more information.