The first payable gold was discovered in Tasmania in February 1852, at Tullochgorum in Tasmania's east.
William Chapman first found gold in Echunga, South Australia in 1852.
the poll tax ordinance of 1852 of gold coast
There were no gold discoveries in Adelaide itself in 1852. However, elsewhere in South Australia in 1852, there was a strike by William Chapman at Echunga, which brought hundreds of miners to the region.
1848-1852
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Retail values for 1852 Liberty Head gold dollar coins run from $126.00-$270.00 for circulated examples. Uncirculated start at $288.00
There never was a gold half cent coin. Gold is too valuable for such small denominations. Even at the (comparatively) low price of gold back in 1852 a half-cent made of it would have been about the diameter of a pencil eraser.
The U.S. mint did not produce any $50.00 gold coins in 1852 of any shape. Post new question with a complete description of the piece.