Graham Cheeseman was a non-contract player from Somerset who made a couple of substitute appearances at the start of Exeter City’s first season in the Conference in 2003.

Graham had been playing for Worle St Johns when he joined Bridgwater Town and, with 19 goals, finished as the Robins’ top-scorer in 2002/03. He joined Exeter City as a non-contract player in August 2003 when it was reported that Exeter City apologised to Bridgwater Town after Eamonn Dolan, City manager at the time, made an illegal approach to Graham by talking to him on the pitch following Bridgwater’s friendly with Plymouth Argyle. 

At the age of twenty-six and having mainly played at a relatively modest level of football, Graham went straight into the squad and made his debut as a substitute in the 2-1 home win over Chester. Although he again appeared as a substitute in the following game at Woking, he was then released.

The striker immediately linked up with Bath City, making a single substitute appearance in the 7-0 defeat at Worcester City. By the following month he had returned to play for Bridgwater Town, leaving them in 2005/06 to join Clevedon United. He was forced into retirement in October 2016 after sustaining a broken tibula and fibula while playing for Wrington Redhill at Staplegrove in the Premier Division of the Somerset County League. After recovering from his leg injury, and retiring from playing, Graham then became joint manager at Wrington Redhill whilst continuing to work in the construction industry..