Morgan progressed to the second round of the World Championship in 1974, beating Cliff Thorburn 8–4 in the first round. In his autobiography, as Thorburn claims that after Morgan lost the first frame, he took his tie off, after Thorburn went 3-1 up, Morgan took his waistcoat off, and after the score went to 4–1, Morgan drop kicked his chalk right out of the arena. Thorburn states that he had difficulty settling after that and lost the next 7 frames to let Morgan progress to the second round, where he lost 7–15 to Graham Miles.