Prior to ordination, Graham worked with CMS in Isfahan, Iran, and with ex-offenders in Manchester. He married Christine, who was brought up in Dunedin, New Zealand, in June 1978, the day after finishing at Ridley Hall, Cambridge. Ministry has been mainly in the parish of St Andrew, Buckland Monachorum, for over 34 years. Although mystified by ecclesiastical titles, he was invited to become a prebendary of Exeter Cathedral by Bishop Robert Atwell, in 2016. Retiring at the end of 2018, it has been a surprise and privilege to be invited to be a chaplain at St Mellitus, and to be alongside those preparing for ordination, and other ministries.