William John Stone (28 September 1897 – 8 November 1976) was an English rugby union and professional rugby league footballer who played in the 1910s and 1920s.

He was "discovered" playing for the Bream's rugby union team by talent scouts from Hull FC rugby league club,[6] he then moved to Beverley Road, Hull with his wife Gertie, and his children; William, Hilary, and Esme.

Stone was selected to go on the 1920 Great Britain Lions tour of Australia and New Zealand.

Stone played fullback in Hull FC's 9-10 defeat by Rochdale Hornets in the 1922 Challenge Cup Final during the 1921–22 season at Headingley, Leeds, in front of a crowd of 34,827.

were just one-point behind Rochdale Hornets when second-row Bob Taylor scored a try in the dying minutes, however Billy Stone was unable to score the conversion and Rochdale Hornets won the 1922 Challenge Cup.