Eliza arrived at Port Jackson from Buenos Aires on 9 December 1807, and remained in Sydney until 22 April 1808 when she departed for Norfolk Island and Fiji.

While the rest of the crew waited, Eliza's master, E. Hill Corri, and his two mates travelled in a whaleboat to Sandalwood Bay where on 29 June 1808 they found the brig Elizabeth and the American ship Jenny lying at anchor.

Corri and a rescue crew from both these ships travelled the 60–70 miles back to the Eliza wreck, where they were promptly attacked by natives.

The natives killed the cooper from Elizabeth, but the remaining sailors, led by Eliza's second officer, Seth Barton, counterattacked and defeated them.

She is recorded departing with passengers to quit the colony (9 October 1808 Sydney Gazette) and is clearly a different vessel to the brig.