In 1980, Morgan reached the quarter-final, where, as the number 8 seed, he began his campaign in the second round where he defeated Alan Grant before losing to Cliff Lazarenko.
His last appearance at the World Championships came in 1987 with a first round defeat by Jocky Wilson.
One of his biggest paydays came in 1980, when he won the Austin Morris British Masters against Bobby George, the top prize being a £5,500 car from the tournament sponsors.
As Morgan did not drive, the sponsors made the offer of a cash option instead.
Morgan hit the highest shot out of the 1983 Unipart British Professional Championships against Steve Brennan with a 170, and in 1986, reached the semi-finals of the same tournament.