As with any survey if you bias it correctly you will get the desired result [bigwhistle]
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On 22 August 1770 up on Possession Island just west of Cape York, Captain Cook claimed the eastern coast of New Holland for Britain and took possession, renaming it New South Wales.
The 26th of January 1788 was really just a flag raising ceremony - more proclaiming the colony rather than claiming the land so if the date has to be moved then I pick 22 August.
Garry
Why not make it the last Monday in January and call it "National 'take a sickie' day"!