They won the Scottish Cup in 1885 and again in 1888, defeating Cambuslang in the final with a record 6-1 scoreline. That victory prompted a challenge to the English FA Cup winners, West Bromwich Albion, and the match on 12 May was heavily marketed as the 'Championship of the World'. In torrential rain, Renton won 4-1 and basked in the glory of their champion status.
Robert Bradley and Douglas Gorman have written the full story of the World Championship match, how it came about. and who the key personalities were. You can read it in the attached article (click here).