Colin Stockton spent his early days as an amateur winger with Wrexham, Ellesmere Port Town and Chester. He tried out with Chelsea of the First Division in 1908, but failed to make the senior team and signed for Leeds City in May 1909.

He was given his Second Division bow in the opening game of the 1909/10 season, which saw City hammer Lincoln 5-0. Nevertheless, Flaneur of the Leeds Mercury rated Stockton's display as 'rather disappointing'.

Stockton retained his place for the following two games but received criticism for being 'slow in getting away with the ball'. He missed an open goal in the first quarter of an hour of his second appearance against Hull City, who ended the game 3-1 winners, and was clearly struggling to step up to the mark.

Stockton was dropped with little ceremony and it was the Welshman, Hugh Roberts, who seized the opportunity to become City's star man on the right flank.

He had departed Elland Road by the end of the season, and never played football professionally again.