St Patrick's Athletic F.C.
An inside left, Peyton made a scoring debut for Shamrock Rovers in October 1953 in a 4–2 win in the League of Ireland Shield. He made two appearances in European competition while at Shamrock Rovers, and in January 1958, moved to Leeds United for a £5,000 fee. Peyton spent five seasons at Leeds, a period when the club was relegated to the Second Division at the end of the 1959–60 season and fought a battle against relegation to the Third Division during the 1961–62 season. He scored 20 goals in 117 appearances for Leeds before joining York City for £4,000 in July 1963, where he made 37 appearances, scoring four goals, during the 1963–64 season. His brother Willie Peyton was also a footballer who played for St Patrick's Athletic F.C. Willie scored the winner in both FAI cup finals for St. Pats, the first in 1959, 2-1 against Waterford United in Dalymount Park (a replay) and again in 1961, 2-1 against Drumcondra, also in Dalymount Park. The only time St. Pats have won the FAI cup.