Who first claimed Australia?

Although the Dutch and the Portuguese were the first Europeans to discover Australia, they did not claim the land and showed a distinct lack of interest in Terra Australis. The first European to claim Australia was James Cook, who named the eastern half New South Wales, and claimed it for England in 1770. At that time, no-one had claimed the western half. In 1829, Captain Charles Fremantle was sent to take formal possession of the remainder of New Holland which had not already been claimed for Britain under the territory of New South Wales. On 2 May 1829, Captain Fremantle raised the Union Jack on the south head of the Swan River, thus claiming the territory for Britain.