In 1979 his 28-year-old daughter Amber, who was pregnant, was killed when returning from a family wedding. Her car crossed a damaged section of the M4 motorway crash barrier and hit an oncoming Porsche. The two people in the Porsche, as well as Bessone's daughter, her husband and two children, were all killed instantly. Several weeks after the accident it was discovered that the male passenger killed in the Porsche was Brian Field, one of the organizers of the 1963 Great Train Robbery, who had changed his name to Brian Carleton.