Are you looking for a friendly local boozer serving real ale, a darts team, a pool table, or somewhere to hold a party or private function? Or are you just interested in the origin of the UK's pub names?
Pubs with animal names such as Hart generally refer to hunting. When combined with colours, eg. The White Hart, this usually refers to heraldry. A white hart was the livery badge of King Richard II and thus became popular during his reign.