Um, well. I looked up 'booze' in an Australian slang dictionary and there it was. Then I tried the OED and this is what it said, more or less:

Alteration of obsolete bouse, from Middle English bousen, to drink to excess, from Middle Dutch busen. No mention of Australia I admit.

But I guess none of that proves who first turned bouse into booze - could have been a Dutchman sailing in Southern latitudes or could have been a Dutch refugee in Olde England.