The Channel Islands.
The Channel or Santa Barbara Islands
These are known as the Channel Islands.
Falkland Islands
The islands I believe you're referring to are the Falkland Islands.
The Falkland Islands is a group of islands located off of the coast of Southern Argentina. This group includes two very large islands and many smaller islands within the South Atlantic Ocean.
The Chinook.
Island of the Blue Dolphins is set in the Channel Islands, specifically on San Nicolas Island. The Channel Islands are a group of eight islands off the coast of Southern California in the United States.
The Falkland (or also known as Malvinas) Islands lie off the southeastern coast of Argentina.
Similian Islands is group of islands in Andaman Sea located off the coast of Phang Nga province Southern Thailand. It is a national park established in 1982.
The Canary Island (Islas Canarias) are a group of islands, owned by Spain, located 100-400 miles off the coast of southern Morocco in Africa.
Galapagos Islands.