 The civil parish of Minehead is governed by a town council , which was created in 1983 . In 2002 , the parish was estimated to have a population of 10 @,@ 330 . Administratively , Minehead has been part of the West Somerset local government district since 1974 , having previously been Minehead Urban District . The district is in turn part of the Somerset shire county , and administrative tasks are shared between county , district and town councils . 
