Noun
dame school (plural dame schools)
(now historical) A school for children, run by a woman.
Ferris (1989), p. 25. Thomas's formal education began at Mrs Hole's dame school a private school on Mirador Crescent, a few streets away from his home. Source: Internet
From the age of about six he was a day boy at a dame school in Islington that one of his biographers later described as "for those days a very high-class establishment". Source: Internet