In 1980 the Lilywhites played the Lincolnshire side Bourne Town, who were then an United Counties league team, in the F.A. Cup.
Bourne Town v Cambridge City (F.A. Cup 1980)
Founded in 1883, Bourne Town originally played on a ground joining the Cricket Field before in 1947 moving to the Abbey Lawn Ground.
13.9.1980 Bourne Town 0 - 0 Cambridge City 1st Qualifying Round
17.9.1980 Cambridge City 0 - 1 Bourne Town 1st Qualifying Round Replay
Abbey Lawn Ground, Bourne