Greenwich

When Captain Law registered his ship's arrival with Sydney custom officials in 1803, he was the first to do so having come from New Zealand. Greenwich carried 209 tons of oil most of which had been procured off the coast of New Zealand. She wasn't alone in her venturing, having seen Harriet, Albion, Alexander, and Venus during her cruise.  

While Greenwich was in Sydney, Venus arrived with 1400 barrels of oil, and two months later they sail together for England.