Domesday shows Count Alan holding 33 of the 40 estates of Edith the Fair, and in 1094 Archbishop Anselm wrote to her daughter, King Harold's daughter, who had left Wilton Abbey with Alan

Domesday Book lists "Eadgifu the fair" as the holder in 1066 of 40 estates: 25 in Cambridgeshire, 6 in Essex, 5 in Hertfordshire, 3 in Suffolk and 1 in Buckinghamshire. By 1086 Count Alan of Brittany held 33 of them. King William held 2, and three other Normans held the rest. Historians identify her, probably, with Edith Swan-neck, the wife of King Harold II, who was killed at Hastings in 1066. Their daughter Gunnhild was raised at Wilton Abbey and expected to become its abbess. About 1093 Alan, called Alan Rufus, took her from Wilton, shortly after King William II blocked his plan to marry Edith, later Queen Matilda. Historians suggest he wanted Gunnhild to strengthen his hold on her mother's lands. Alan died soon after. His brother and heir, Alan the Black, inherited the estates and planned to marry her as well. In 1094 Archbishop Anselm wrote to her. He asked where her lover, Count Alan Rufus, was now, warned that God might kill Alan the Black because of her, and told her to put the nun's habit back on. Gunnhild answered that she had been promised the abbacy and was not bound. The historian Eleanor Searle wrote that marriage was "a moment of inheritance quite as important as any admission into a fief." What became of Gunnhild is unknown. The historian Richard Sharpe argued she had a daughter, Matilda; no record of descendants survives.