Cooper Island is a small island, 2 miles long, which lies at the north side of the entrance to Drygalski Fjord, off the southeast end of South Georgia. It was discovered by a British expedition under James Cook in 1775, and named for Lieutenant Robert Palliser Cooper, an officer aboard HMS Resolution.
A navigable channel, Cooper Sound, nearly 1 mile wide, separates Cooper Island from the coast of the main island of South Georgia. There is a small bay, Known as Cooper Bay, 1.3 miles southwest of Cape Vahsel on the mainland, and 1 mile northwest of Cooper Island, indenting the southeast end of South Georgia, which derives its name from Cooper Island.
Wikipedia https://en.wikipedia.org/wiki/Cooper_Island
Coordinates -54°48'44.771" N -35°47'22.438" E