 González-Gordon has been described as being proud of his Scottish heritage, which centred on the town of Huntly and the Clan Gordon. His personal clothing style reflected this; he was noted for his tweed jackets and British clothes in general. He had been married to Milagro López de Carrizosa y Eizaguirre for 62 years before she died in July 2013. The couple had two children, Bibiana and Mauricio, with Mauricio being the current president of the family company. During the three final years of his life González-Gordon was in poor health and could hardly leave his home. He died on 27 September 2013 in his hometown of Jerez de la Frontera at the age of 89. His family claims that the last thing he drank was a Tío Pepe, the most famous brand of the family business. His death occurred at the Asisa clinic where he had spent his last couple of weeks. The memorial service was held at the San Juan Bautista de La Salle church on 28 September.
