Japanese-English dictionary : 亭主の好きな赤烏帽子 the meaning is
亭主の好きな赤烏帽子 (ていしゅのすきなあかえぼし) [exp] meaning is "(arch) Family members should fall into line with the head of the family even if his taste is a little odd、 like wearing a red eboshi、 which is ordinarily black"