In reference to 51st I found no names that you ask about.
There were 5 coopers but no George. I will you the names
Dade Cooper Co. C
James M cooper Pvt Co. A
Martin Cooper Pvt Co. A
Wm A Cooper Capt. Co K
Wm H Cooper Pvt Co.A
This is from the 51st Va Infantry By James A Davis 2nd edition