Although not based on a written material of history, there is a theory that holds that Aritsuna's wife was a daughter of Yoshitsune and a sister of the brothers of Tsugunobu SATO and Tadanobu SATO, who was born during their stay in Hiraizumi, judging from the brothers' enthusiastic devotion to Yoshitsune.
また史料による根拠はないが、義経に対する佐藤継信・佐藤忠信兄弟の普通でない奉仕ぶりから、有綱の妻は平泉時代に義経と佐藤兄弟の姉妹との間に生まれた娘であるとする説もある。