Ceeney was the only Australian female competitor at the inaugural 1960 Rome Games. At the games, she won two gold medals in the Women's 50 m Breaststroke complete class 5 and Women's 50 m Crawl complete class 5 events, three silver medals in the Women's St. Nicholas Round open in archery, Women's Club Throw C, and Women's Javelin C events, and a bronze medal in the Women's Shot Put C event.