Louis Alphonse, Duke of Anjou
Louis Alphonse was born in Madrid, the second son of Alfonso de Borbón, Duke of Anjou and Cádiz, and of his wife María del Carmen Martínez-Bordiú y Franco, eldest granddaughter of Francisco Franco. Alfonso was at that time the dauphin (using "Duke of Bourbon" as title of pretence) according to those who supported the claim of his father, Infante Jaime, Duke of Segovia to the French throne. On 20 March 1975, the Infante Jaime ("Henri VI" by Legitimist reckoning) died. Alfonso then asserted his claim to be both Head of the House of Bourbon and Legitimist claimant to the throne of France and the Co-Principality of Andorra. As such, he took the title "Duke of Anjou", and on 19 September 1981 gave Louis Alphonse the title Duke of Touraine.
Prince Jean, Duke of Vendôme
The couple have five children: He was created Duke of Vendôme (French: "Duc de Vendôme") by his paternal grandfather, on 27 September 1987. 
Jean is a member of the House of Orléans, a cadet branch of the House of Bourbon, itself a cadet branch of the Capetian dynasty. His patrilineal ancestors, or direct male-line ancestors, include many of the Kings of France.