In theatre, house management concerns the selling of tickets, the ushering of patrons in front of house areas, and the maintenance and management of the theatre building. House management staff usually work for the theatre, under the supervision of the house manager, and not for the theatrical troupe which is occupying it. Often in regional or smaller theatres the responsibility falls under the aegis of the production manager. In any case, house management works closely with the production management team for the presentation of the theatrical production.
In domestic services, "house management" refers to the overseeing of employees that make of the staff of the household, including drivers, nannies, and housekeepers.
Bibliography and articles on house management by Paul Iles at http://www.laughingaudience.co.uk/house_management.html