Sorry to be late into this discussion, but I have done a lot of research into William Ward and his descendants. There is a bit of misinformation out there about his origins. Based on his convict records, he was probably born about 1799. The earlier date is based on his death certificate, which possibly over-estimates his age. His trial records and marriage records both agree on a 1799-1800 birth.
William served most, if not all his sentence in Tasmania at Georgetown. There are several records of disciplinary actions there and he is listed on the convict Musters in 1820 and 1821. His Certificate of Freedom was advertised in the newspapers in February 1824.
I have recently uncovered evidence that he may have travelled to Sydney as a temporary crew member on the Lord Liverpool, arriving in Sydney in October 1824. He probably started shipping shingles from Brisbane Water some time in 1825.
I have a lot more detail about his career as a timber merchant and his shipping activities if you are interested.