I could not find any McMorans amongst the many convicts who were transported to Australia. I have only discovered one reference to McMoran in Australia. Those McMorans that emigrated from Ireland during the 19th century seem mainly to have settled in America.

Queensland

Henry McMoran m. 19 Jun 1870 to Elizabeth Purnell.  There are no children of this marriage recorded.

New South Wales

Victoria

South Australia

Western Australia