Arnaud Massy won his only major title, two strokes ahead of runner-up J.H.
In a strong wind on Thursday morning, Massy and Walter Toogood were the co-leaders after the first round at 76, with the next closest score at 79.
Harry Vardon's 74 was the best round of the championship and moved him into a tie for third place with Pulford and Ball, five strokes behind Taylor.
Massy became the first overseas player to win the Open, while Taylor finished runner-up for the fourth successive time.
Vardon's brother, Tom, made a powerful move up the leaderboard with a 75 in the final round to secure a tie for third.