Oliver was a budding guitarist while working in a factory in the mid-1970s, but gave up after losing the tip of his index finger in an accident with a door, and sold his prized 1962/63 Fender Stratocaster. He was, however, encouraged by future bandmate Paul Quinn to learn to play again. Oliver was originally a member of the band Son of a Bitch, formed in 1975, along with future Saxon bassist Steve Dawson, Steve Firth on vocals and drummers David Bradley, John Hart, Cowley and John Walker. The band merged with another local band to become Saxon, with whom Oliver played from 1976 to 1995, acting as the band's main songwriter as well as guitarist during a period in which the band had five top 20 albums in the UK. After leaving Saxon in 1995, he initially reformed his old band Son of a Bitch with former Saxon bassist Steve Dawson and drummer Pete Gill. Son of a Bitch released the albumVictim You with Thunderhead singer Ted Bullet. Bullet and Gill left the band after the release of the album. They were replaced by the vocalist John Ward, and another former member of Saxon, Nigel Durham on drums. In 1999, Oliver and Dawson trademarked the name 'Saxon', claiming they had exclusive rights to it, and attempted to stop Saxon singer Biff Byford from using the name. The trademark claim was overturned after it was ruled to be in bad faith, setting a legal precedent for ownership of a band name. Oliver and Dawson changed the name of the band to Oliver/Dawson Saxon, and undertook a British tour with Ronnie James Dio. Graham also duetted with Doug Aldrich on "Rainbow in the Dark" on the last gig at Plymouth. Oliver has also released the solo album End of an Era in 2001. Five of the tracks were written and performed by the rock indie band Bullrush, with whom Graham Oliver's son Paul played drums, along Steve Tudberry and Scott Howitt. Also appearing on the album were Pete Gill, Steve Dawson, Kev Moore, Paul Johnson, Phil Hendriks, Richard Spencer and Chris Archer. Since 2002, Oliver has played with former Marc Bolansession musicianPaul Fenton, touring under the banner "Mickey Finn's T-Rex" and formerly "T. Rex ". This opportunity materialised after Oliver played "Get It On" with Rolan Bolan at a show in Bradford. Oliver suffered a stroke in January 2010, leaving him without feeling in one arm for several weeks. In 2011, Oliver joined pupils at Mexborough School in their production of the Ben Elton musical We Will Rock You. In 2012 guitar manufacturer "Vintage" collaborated with Graham to produce two signature guitars based on his famous Gibson SG and Flying-V guitars. The 'SG' model Vintage VS6GO and the 'V' model Vintage V60GO. Oliver and Steve Dawson wrote the book Saxon Drugs and Rock and Roll - The RealSpinal Tap, published by Tomahawk Press in 2012, with a foreword by Harry Shearer. As of 2017, Oliver was still playing in Oliver/Dawson Saxon. He is also an authority on Yorkshire ceramics.
