McElligott is a surname. Notable people with the surname include:
Bernard McElligott, Irish hurler and Gaelic footballer Dominique McElligott (born 1986), Irish actress John J. McElligott (1882–1946), American Fire Commissioner John L. McElligott (born 1958), Irish Gaelic footballer Ken McElligott (1940–2021), Australian politician Sarah Isabella McElligott (1883–1986), New Zealand cook