Elgin is both a surname and a given name. Notable people with the name include:
Surname:
Duane Elgin, American author, speaker, educator, consultant, and media activist
Michail Elgin (born 1981), Russian tennis player
Michael Elgin, professional wrestler
Mike Elgin (born 1983), offensive guard for the New England Patriots
Suzette Haden Elgin (born 1936), science fiction author and linguist
Given name:
Elgin Baylor (born 1934), former professional basketball player
Elgin James, filmmaker, musician, and former member of Friends Stand United