This claim fell to her grandson Walter V of Brienne and his descendants. They are the heirs-general of King Aimery of Cyprus and Hugh I himself. Isabella (1216–1264), who married Henry of Antioch, and who was the mother of Hugh III of Cyprus and ancestress of the line named later as the second dynasty of Lusignan.
Hugh de Stafford, Baron Bourchier (d. 25 October 1420), who married, before September 1410, Elizabeth Bourchier (c.1399 – 1 July 1433), but had no issue by her. After his death, she married Sir Lewis Robesart, standard bearer to King Henry V. Katherine Stafford, who married Michael de la Pole, 2nd Earl of Suffolk.