Findmypast is a subscription site which is available to use for no charge within the State Library of Western Australia building. It contains material relating to the United Kingdom and Ireland and all Australian states and New Zealand with a small amount of content for the Pacific Islands and Papua New Guinea. The Australian states with the largest amount of material are Queensland, New South Wales and Victoria. Content includes passenger lists, almanacs, Blue Books, electoral rolls, government gazettes, police gazettes and post office directories. The Ireland section includes will indexes, directories, cemetery transcriptions, land records and more. The largest collection is Irish prison records which includes information on over 3.5 million people. Most coverage for the United Kingdom is for England and Wales, including 1841-1911 census records. Census transcriptions for Scotland for 1841 through to 1901 are also available. Top content includes births, marriages and deaths including overseas BMDs, armed forces BMDs and BMDs at sea; UK outgoing passenger lists 1890-1960 and British Army service records (also known as Chelsea Pensioner records) 1760-1913.
http://catalogue.slwa.wa.gov.au/record=e1001846~S2
The National Archives of Ireland website has an online index to Irish convict transportation registers and convict petitions. Some registers were destroyed by fire so the records are not complete. You can find further information about the convicts by noting the reference number and consulting the microfilms which were donated to Australia by the Irish government to celebrate the Bicentenary. These microfilms are held in major libraries around Australia, including the State Library of Western Australia.
http://findingaids.nationalarchives.i...index.php?category=18&subcategory=147
This website contains details of Irish convicts who were transported to New South Wales in the period 1788-1839. It also includes lists of the ships carrying Irish convicts and details of Irish rebels.
http://members.pcug.org.au/~ppmay/convicts.htm