No primary source has been identified which confirms Duncan’s parentage but as, apparently, he was the successor of Earl Gilliemathil it is likely that he was his son.
Earl of Fife. "…Dunecano comite…" witnessed a charter dated to [1135] by which "David Rex Scottorum" granted Swinton to "Arnulfo…mee militi". David I King of Scotland granted protection to the clerics of Deer by undated charter, witnessed by "Donchado comite de Fib et Malmori d’Athotla et Ggillebrite comite d’Engus et Ghgillcomded Mac Aed…". He may have been Regent of Scotland in 1153 during the minority of King Malcolm IV.
The name of Duncan’s wife is not known. 1