I searched for 'May Place' on the Library Archive site:
Liverpool Record Office: Online Catalogue



364:CAT Records of the Liverpool Catholic Reformatory Association...this link contains the following information:

...This was followed on 24 Nov. 1876 by the opening of the May Place Reformatory School for Girls, Old Swan

The May Place Reformatory School for Girls was closed down on 31 Mar. 1922, when its Home Office certificate was withdrawn