Dench offered the oak-timbered set, modelled on London's 16th century Rose Theatre for 1998 movie Shakespeare In Love, to the troupe after she won an Oscar for portraying Queen Elizabeth I in the romantic comedy.
The set, a gift to Shakespeare superfan Dench, is currently in storage, but is set to become part of a real theatre venue in the north of England.
British Shakespeare Company artistic director Robert Williamson says he hopes to turn the set into "a living history centre".