Joseph Deane Bourke, 3rd Earl of Mayo (English: /bɜːrk/; BURK; 1736 – 20 August 1794) was an Irish peer and cleric who held several high offices in the Church of Ireland including Bishop of Ferns and Leighlin (1772–82) and Archbishop of Tuam (1782–94).

They had four sons: John Bourke, 4th Earl of Mayo, Richard, Joseph, and George, and six daughters: Catherine, Mary-Elizabeth, Mary-Anne, Charlotte, Louisa, and Theodosia-Eleanor.

Prior to his elevation to the episcopate, Bourke's earlier ecclesiastical appointments were Prebendary of Armagh (1760–1768);[2] Dean of Killaloe (1768–1772), Rector of Kilskyre, near Kells, County Meath (1769–1772);[3] and Dean of Dromore (1772).

[5][6] He was consecrated at St. Thomas's Church, Dublin on 11 October 1772; the principal consecrator was John Cradock, Archbishop of Dublin, and the principal co-consecrators were Charles Jackson, Bishop of Kildare and William Newcome, Bishop of Dromore.

[5][6] Ten years later, he was translated to the Archbishopric of Tuam by letters patent on 8 August 1782 and made a member of the Privy Council of Ireland.