Queen's struggled with top-flight football and the professional sides which surrounded them. An early high-point was a 1–0 victory over Celtic at the opening of the new Hampden Park in 1903. By previous standards, however, unspectacular seasons followed and the club even finished in the relegation zone on five occasions. Queen's were spared by vote until 1922 when, after a few solid seasons, the team were eventually relegated in second-last place. Queen's bounced back immediately, winning Division Two at the first attempt. In a league season of 24 victories and only five defeats, the Spiders even managed a 4–3 win over Celtic in the Glasgow Cup, with James McAlpine scoring a hat-trick. McAlpine's fine play inspired Queen's to their greatest ever placing in the Scottish League, when they finished 5th in Division One in 1929. He would go on to set a goal scoring record for the club and his appearance record was only beaten by Ross Caven at the turn of the next century. In 1928, the same side also came closest to any Spiders team since 1900 to winning the Scottish Cup but lost 2–1 to Celtic in the semi-finals.