In Ancestry's database 'New South Wales, Australia, Assisted Immigrant Passenger Lists, 1828-1896' there is the following:
Patrick Dorris, married male immigrant, a native of Co. Fermanagh, son of ?Barney and Frances Anne his wife, who was 27 years of age at embarkation on the 'Lord Western' in 1840 and a Labourer; his 'character' was certified by Hugh ?Copeland and John Wilson of Cavancaragh (possibly Cavancarragh according to a list of townlands of County Fermanagh?).
Anne Dorris, married female immigrant, a native of Fermanagh, daughter of Bryan Monagham a farmer and Bridget Nolan his wife, who was 26 years of age at embarkation on the 'Lord Western'.
Both being recorded as Roman Catholic. There were no recorded children travelling with them.
Edit: indexed on Family Search as Douris.