High Quality Content by WIKIPEDIA articles! Norton Priory is a historic site in Norton, Runcorn, Cheshire, England, comprising the remains of an abbey complex dating from the 12th to 16th centuries, and an 18th-century country house; it is now a museum. The remains are a scheduled ancient monument and have been designated by English Heritage as a Grade I listed building. They are considered to be the most important monastic remains in Cheshire.