William Henry Morgan (1878–1939) was an English footballer who played as a half back. Born in Barrow in Furness, Lancashire, the son of John Morgan and Mary (Lewis), he began his football career with Horwich F.C. In January 1897, he was sold to Newton Heath, making his debut appearance against Darwen on 2 March 1897. He was one of the team during the first season after Newton Heath became Manchester United. During his time with the club, he made 152 appearances (all in Division 2) and scored seven goals (six in Division 2 games, one in an FA Cup match).