In only his second appearance at The Open, Jones edged out Al Watrous by two strokes, but such an outcome had looked unlikely with five holes to play when the great amateur trailed by two.
Having pulled level with his fellow American, Jones hit a wayward drive on the 17th but followed that up with a wondrous recovery shot from a sandy scrub area.
A stunned Watrous three-putted for bogey as Jones made an unlikely par and the latter would go on to seal the Claret Jug for the first time with a closing four.
Jones had emulated John Ball Jnr and Harold Hilton by winning The Open as an amateur. He would go on to win the U.S. Open a few weeks later, becoming the first person to secure both Majors in the same year.