What did Captain James Cook name the first colony of Australia?

James Cook did not name the first colony of Australia. He sailed up the eastern coast 18 years before the continent was colonised.

Cook claimed the eastern half of Australia as New South Wales, and recommended that the site of Botany Bay be colonised. However, when Arthur Phillip led the First Fleet into Botany Bay, he found it was not suitable for settlement, for several reasons, and moved north to Port Jackson.
James Cook did not name the first colony of Australia. He sailed up the eastern coast 18 years before the continent was colonised.

Cook claimed the eastern half of Australia as New South Wales, and recommended that the site of Botany Bay be colonised. However, when Arthur Phillip led the First Fleet into Botany Bay, he found it was not suitable for settlement, for several reasons, and moved north to Port Jackson.