Norman H. Greenhalgh (10 August 1914 – 1995) was an English footballer who played as a left back in the Football League with New Brighton and Everton either side of World War II. Greenhalgh started his career with his local club, Bolton Wanderers, but failed to break through into the first team. In 1935 he moved to New Brighton, where he suffered with appendicitis; after making a full recovery, he re-discovered his form and was sold to Everton. He made his Everton debut on 29 January 1938, and soon formed an effective partnership with Billy Cook. They helped Everton to the Football League title in 1939 before his career was interrupted by the war.