Constantine House consists of two buildings joined by a suspended breezeway, representing Nos. 36-7, St Mary's. However, the name "Constantine House" only properly refers to No.37, the larger of the two buildings. They were built c.1840, possibly by George Townsend Andrews. They are now Grade II listed buildings accommodating 27 graduates, mostly in single study bedrooms but with some larger rooms suitable for couples. The rooms have washbasins and there are shared bathrooms, a common room, kitchens, and a car park. Priority is given for students attending courses at King's Manor.