His daughter, Sally, was a pre-war actress on stage and with British-Gaumont films, appearing under the name Sally Stewart. As a 23-year-old she married in an Edinburgh solicitor's office in January 1939 to Peter Croft, 21-year-old British film actor, son of Ann Croft, actress. Sally's daughter, Naughton's granddaughter, Sally-Anne Stapleford is a five-time British champion in figure skating in the ladies event and won the silver medal at the 1965 European Figure Skating Championships.