Since they belonged to the Kanze school, which was the biggest school among yoza (literally, 'four schools,' representing major four Noh schools: the Kanze school, the Hosho school, the Kongo school, and the Konparu school), the bakufu (Japanese feudal government headed by a shogun) and various domains including the Kishu Domain had performers from the Morita school.
四座筆頭の観世流座付であるところから、江戸時代には幕府、紀州藩をはじめとして諸藩に森田流の役者が抱えられていた。