Morgan turned professional in 1970.[15] He participated in the 1971 World Snooker Championship, losing matches against John Pulman, Ray Reardon and Gary Owen, but winning his match against Warren Simpson.[1] In 1972, Morgan won the Australian national billiards title against Albert Johnson, and held it unchallenged until defeated 3,238–3,608 by Robby Foldvari in 1985.[16]
A World Open Billiards Championship, with both amateurs and professionals competing against each other, was held in 1972.[17] Morgan finished fourth in the round-robin table with seven wins from eleven matches, which included victories against Clark McConachy, Clive Everton, and Jack Karnehm. He reached the final by defeating Eddie Charlton and Satish Mohan, and finished runner-up to Leslie Driffield, 2,404–3,055.[18]
In 1974, Morgan defeated 1972 World Snooker champion Alex Higgins in the final of a professional tournament held at the Westpoint Shopping Centre, Blacktown, Sydney, by winning the first four frames in their best-of-seven frames match. Ian Anderson and Simpson also played in the tournament.[19][20][21] He lost 3–37 to Higgins in the final of the Victorian Professional Championship held in Melbourne the following month.[22] At the 1974 World Snooker Championship, Morgan progressed to the second round by defeating Cliff Thorburn 8–4 in the first round.[1] In Thorburn's autobiography, he claims that after Morgan lost the first frame, he took his tie off, then after Thorburn went 3–1 up, Morgan took his waistcoat off, and after the score went to 4–1, Morgan drop kicked his chalk out of the arena. Thorburn states that he had difficulty settling after that and lost the next seven frames to allow Morgan to progress to the second round, where he lost 7–15 to Graham Miles.[1][23] In the 1975 Championship he faced Thorburn again, and lost 6–15 in the first round.[1]
The 1976 Australian Professional Snooker Championship was promoted by Charlton, through his eponymous company. Charlton played his quarter-final and semi-final using his personal set of snooker balls, on a table of his choosing at the venue, finishing his final on 30 September. He stipulated that the final, scheduled for 4 October, would be played under the same conditions. Morgan and his opponent Simpson had both faced lengthy journeys to their previous matches and were scheduled to finish their match on 3 October. Four days before the final was due to commence, Morgan and Simpson agreed to tell Charlton that whichever of them won the semi-final would refuse to play him unless what they saw as the advantages that Charlton would gain from playing with his own set of balls on a table of his choosing were removed. Morgan defeated Simpson 19–11 and then travelled from their match location in Muswellbrook, New South Wales, to Sydney, then flew to Melbourne the following morning, the day the final was due to start. When he arrived, he discovered that the match had been set up on the same table as Charlton had played his previous matches on, with the same balls, and refused to play.[24] Charlton claimed victory by walkover, a decision which was confirmed by seven votes to six by the Australian Professional Players Association, chaired by Charlton.[24][25]
At the 1976 World Professional Match-play Championship, which despite the name was not an edition of snooker's world championship, Morgan recorded a 13–12 win against Dennis Taylor and a 13–6 defeat of Alex Higgins to reach the semi-finals, where he faced Charlton.[26] Morgan led 16–14 at the start of their final session in the best-of-37 frames match, and increased this to 17–14 before Charlton won the next three frames to equalise. Morgan then regained a lead at 18–17, but Charlton took the following two frames to progress to the final after the deciding frame, 19–18.[26][27] A break of 104 by Morgan was the highest of the tournament.[28] Morgan and Charlton both qualified for the final of the 1977 Australian Professional Championship, played as the best of 25 frames. Morgan led 7–5 and later 13–11, before Charlton took the lead. Morgan was a single frame behind at 21–22, but Charlton won the next four frames to secure his 17th national title in 18 years.[29][30] Morgan did not reach the national championship final again.[1] He exited the 1978 World Snooker Championship after his first match in the qualifying competition, defeated 7–9 by David Taylor, and at his next appearance, in 1980, eliminated Paul Thornley 9–4 before being whitewashed 0–9 by Steve Davis.[1]
After an international team event was introduced in professional snooker in 1979, Morgan was one of the three members of the Australia team in the 1979 World Challenge Cup,[31] and at subsequent events in 1980, 1981 and 1982.[32][33][34] At the November 1980 World Professional Billiards Championship (the first time the championship had been held as a knockout rather than as a challenge match since 1934), he defeated John Dunning 1,655–1,107 in qualifying but then lost 978–1,907 to eventual champion Fred Davis in the quarter-finals.[35]
In the 1981 World Snooker Championship qualifying competition, Morgan lost in the first round to Eddie Sinclair 8–9 and the following year he progressed past David Greaves 9–2 before losing 1–9 to Silvino Francisco.[36] His last World Championship qualifying match victory was at the 1983 World Championship, 10–9 on the final black ball against Pascal Burke. Morgan was them eliminated 6–10 by Miles in the following round.[36]
Morgan moved back to the United Kingdom for the 1983–84 snooker season so that he could compete in more professional events.[37] In the qualifying rounds of the 1983 International Open, he defeated Jack Fitzmaurice and Fred Davis before being eliminated by John Spencer.[38] He won a play-off against Everton and Tony Meo after they had finished level in their first-stage qualifying group for the 1984 International Masters,[39] but lost to both David Taylor and Dave Martin at the second stage.[40] In 1984 he again lost in the World Professional Billiards championship quarter-final to the player who went on to win the tournament, this time 759–1,347 to Mark Wildman, after qualifying by defeating Bernard Bennett 1,021–639.[41]
From the 1984–85 snooker season, Morgan participated only in Australian tournaments and qualifying rounds of the World Snooker Championship,[1] having moved back to Australia because his family preferred the climate there.[38] In late 1990, Morgan announced that he would travel to compete in the 1991 billiards and snooker championships.[42] According to a report in Snooker Scene magazine the following year, Morgan's playing career had been "spoilt by eye trouble".[43] Morgan had been diagnosed with astigmatism in about 1985, and started playing whilst wearing adjustable spectacles.[44] At the 1991 UK Professional Billiards Championship, he lost 211–1,482 in his first match, against Mike Russell,[43] and he did not enter the world billiards championship.[45] Morgan's last professional snooker appearance was at the 1991 World Snooker Championship, where he lost 7–10 to Thornley in the first qualifying round.[1] Play finished at 1:50 am. In Snooker Scene, Phil Yates described the match as a "dirge".[46] Morgan was due to compete the following season, but did not play any matches.[1] The highest professional ranking attained by Morgan was 21st, in the snooker world rankings 1976/1977, the first official ranking list published by the World Professional Billiards and Snooker Association.[36]
From 1984 until at least 1997, Morgan was resident professional at Tattersalls Club in Sydney.[47][48][49]