sentences:  The 1920s and 1930s were probably the most successful period in the club's history, with the team winning the London Senior Cup in 1923 and the Isthmian League championship twice in successive seasons in 1928–29 and 1929–30.During the 1926–27 season, Nunhead reached the FA Cup second round, losing 2–1 to Poole.The campaign was also notable for Nunhead setting a record for the highest margin of victory by a non-league side in an FA Cup round proper match when they beat Kingstonian 9–0 in the first round.