Elgood is a surname. Notable people with the surname include:
Bernard Elgood, (1922–1997), English first-class cricketer and British Army officer Cornelia Elgood (1874–1960), British physician Cyril Elgood (1893–1970), British physician George Samuel Elgood (1851–1943), English artist and illustrator John Hamel Elgood (1909–1998), British ornithologist Leonard Alsager Elgood (1892–1987), British army officer
See also Elgood, West Virginia Elgood's Brewery