Dunmore was born in South Shields and was educated at Stanhope Road School, representing County Durham Schools, before joining local club, Simonside, in 1928.
[2] He failed to make a first-team appearance for Newcastle and moved on to Derby County in April 1930.
He made his only first-team appearance when he replaced Dick Neal as outside right for the match against West Ham United on 24 September 1932.
[3] Dunmore spent the remainder of his time at the Saints in the reserves, scoring nine goals in 47 matches.
[2] At the end of the season, he was released from his contract[2] and he wound up his career at Mansfield Town.