Robert Andrew was in second place on 53 with John Allan and Tom Morris, Sr. tied for third on 54.
Tom Morris, Sr. and Willie Park, Sr. both scored 50 in their second rounds.
This gave Tom Morris, Sr. a one stroke lead over his son.
Tom Morris, Jr. then scored 49 in his final round for a total of 154.
His father finished second, three shots behind with Robert Andrew third, a further two strokes behind.