Robert Bourke, 1st Baron Connemara, GCIE, PC (English: /bɜːrk/; BURK; /kɒnɛmɑːræ/; CONEH-mar-a; 11 June 1827 – 3 September 1902) was a British Conservative politician and colonial administrator who served as Under-Secretary of State for Foreign Affairs (1874–80, 1885–86) and Governor of Madras (1886–90).