in 1788 to 1835 new zeland belonged to nsw. can any one confirm this?

it is true...

below is from the history of new zealand....

In 1788 the colony of New South Wales had been founded. According to Captain Phillip's amended Commission, dated 25 April 1787, the colony included all the islands adjacent in the Pacific Ocean within the latitudes of 10°37'S and 43°39'S which included most of New Zealand except for the southern half of the South Island.

Administered at first as a part of the Australian colony of New South Wales, New Zealand became a colony in its own right on 1 July 1841. It was divided into three provinces that were reorganised in 1846 and in 1853, when they acquired their own legislatures, and then abolished in 1876. The country rapidly gained some measure of self-government through the New Zealand Constitution Act 1852, which established central and provincial government.

New Zealand was part of the colony of NSW until the signing of the Treaty of Waitangi in 1841 when it became a self-governing colony.

Until Federation in 1901 there were no States in Australia. NSW, Victoria, Queensland etc, and New Zealand, were simply colonies of the British Empire. At the time of Federation New Zealand was asked, along with the other colonies, if it wanted to become part of the Commonwealth of Australia. New Zealand declined, but the Australian Constitution still makes alliowance for New Zealand to become part of Australia in the future, should that country choose to do so.

It says so on Wikipedia.

“ New Zealand, originally part of the colony of New South Wales, became a separate Colony of New Zealand on 1 July 1841. ”

To be fair, it was all part of the British Empire back then, and administration of growing colonies may require changes in administration once in a while. There's only so much that a single governor can govern.

Well your link is a reputable one..I guess Cook thought he may as well stick another feather to his cap by stealng that little bit over yonder as well.....who cared about upsetting the natives!!

Without doing any research, I will guarantee this is completely false.