Maud d'Avranches or de Abrincis married Randle or Ranulph de Meschines, Viscount of Bayeux in Normandy, and Lord of Cumberland and Carlisle in England, for after the Normans invaded England, Cumberland fell to the share of Ranulph de Meschines. They had two sons, William, to whom King Henry I gave the Castle of Egremont in Cumberland, and another son, Ranulph or Randle.