Woodlands House and surrounding land was acquired by a Catholic novitiate order, the Little Sisters of the Assumption, after the end of the First World War. Proceeds from the sale of part of the land were used to fund construction of a novitiate house, which opened in 1933.
After the Little Sisters of the Assumption vacated the properties and grounds in 1967, they were purchased by London Borough of Greenwich. The novitiate house became a community centre, known then as Kidbrooke House (taking its name from a building demolished during the construction of a large roundabout forming the junction of Shooters Hill Road and the A102 Blackwall Tunnel southern approach road). In 1994, management of the building passed to the Vanbrugh Community Association, and the building was renamed Mycenae House.