Handing down methods from father to son had increased since the late Muromachi period, when the members' roles inside the troupe became traditional, and two of the heads are known as striking masters: the third head Katsuuji (the son of Toyouji) about whom a lot of anecdotes are seen in "Yoza yakusha mokuroku (Catalog of Actors of the Four Noh Troupes)", and the fourth head Ujishige (the son of Katsuuji) who accompanied Zenpo and Ujiaki KONPARU on their stage and was appointed to Gon no kami.
座内の分業が定着する室町時代後期ごろからは、親子間の世襲が多くなり、『四座役者目録』などに多くの逸話を残す三世勝氏（豊氏の子）、金春禅鳳・氏照らの舞台につきあい権守に任せられた四世氏重（勝氏の子）の二代は際だった名人として知られる。