Their daughter, Agnes, moved to Constantinople in early 1170 to marry "Kaisar" Alexios-Béla, the younger brother of Stephen III of Hungary, who lived in the Byzantine Empire. Agnes was renamed Anna in Constantinople. Her husband succeeded his brother as BélaIII of Hungary in 1172. She followed her husband to Hungary, where she gave birth to seven children before she died around 1184. Raynald and Constance's second daughter, Alice, became the third wife of Azzo VI of Este in 1204. Raynald also had a son, Baldwin, from Constance, according to historian Bernard Hamilton, but Runciman says that Baldwin was Constance's son from her first husband. Baldwin moved to Constantinople in the early 1160s. He died fighting at the head of a Byzantine cavalry regiment in the Battle of Myriokephalon on 17September 1176.