Green’s Dictionary of Slang

Murphy adj.

(Aus.) pertaining to Ireland or the Irish; ext. to the Catholic church.

[Aus]H. Lawson ‘The Ballad of the Rouseabout’ in Roderick (1967–9) I 360: I know the tucker tracks that feed — or leave one in the lurch — / The ‘Burgoo’ (Presbyterian) track — the ‘Murphy’ (Roman Church).