 Conrad's another unidentified daughter married George Balog of Harsány.Conrad is first mentioned by contemporary records in 1239, when he was already an adult.Historian Norbert C. Tóth argued a hypothetical Baranya branch of the kindred became extinct by the First Mongol invasion of Hungary (1241–42), thus Conrad inherited their lands in Baranya County as the closest relative within the Győr clan.