The first part of the name, Alice, is believed to be most likely derived from Ælfsige, Bishop of Winchester in AD 984, whose See (or Diocese) had rights over the forest, and was responsible for the land on behalf of the king.
De primo Saxonum adventu claims that Oslac, along with Eadulf of Bamburgh and Ælfsige Bishop of Chester-le-Street, escorted the Scottish king Kenneth II to the Wessex-based Edgar: The two earls Oslac and Eadwulf along with Ælfsige, who was bishop of St Cuthbert 968—90, conducted Cinaed to king Edgar.