Historic Buildings in Lyme ParkHistoric Buildings in Lyme ParkLyme HallGrade II* listed, Lyme Hall is a historic house located in a 1400 acre parkland now managed by the National Trust. The CageGrade II* listed The Cage at Lyme is formerly a hunting tower and gatehouse, which was later used as the Park Keeper's house and at one time a place to lock-up prisoners.