North and South Cliffe  North and South Cliffe is a civil parish in the East Riding of Yorkshire, England. It is situated approximately south of the market town of Market Weighton and covering an area of . The civil parish is formed by the villages of North Cliffe and South Cliffe. According to the 2011 UK census, North and South Cliffe parish had a population of 124, an increase on the 2001 UK census figure of 96.