Question: Which had a bigger population at the 2011 census, North Willingham or Market Rasen?

Context articles: Middle Rasen
Market Rasen
Willingham House
South Willingham
North Willingham
Bullington, Lincolnshire
Burgh on Bain
Toft Newton
Bishop Norton
Sixhills

Middle Rasen is a village and civil parish in the West Lindsey district of Lincolnshire, England, located about 1.5 mi west from the town of Market Rasen.
 The population of the civil parish at the 2011 census was 2,043.
 Today the village consists of two villages which have merged to become one; they were called Middle Rasen Drax and Middle Rasen Tupholme.
Market Rasen is a town and civil parish within the West Lindsey district of Lincolnshire, England.
 It lies on the River Rase, approximately 13 mi north-east from Lincoln, 18 mi east from Gainsborough and 16 mi south-west from Grimsby.
 The town is known for Market Rasen Racecourse.
 The population of the civil parish at the 2011 census was 3,904.
Willingham House was a country house in North Willingham (Nr.
 Market Rasen), Lincolnshire, England.
South Willingham is a village and civil parish in the East Lindsey district of Lincolnshire, England.
 It is situated 1 mi south-west from the A157 road, 8 mi south-east from Market Rasen, 10 mi north from Horncastle and 10 miles west from Louth.
North Willingham is a village and civil parish in the West Lindsey district of Lincolnshire, England.
 The population of the civil parish (including Sixhills) was 181 at the 2011 census.
 It is situated 3.5 mi east from the town of Market Rasen on the A631 road between Market Rasen and Louth.
Bullington is a village and civil parish in the West Lindsey district of Lincolnshire, England.
 It is situated approximately 8 mi north-east from the city and county town of Lincoln and 7 mi south from the market town of Market Rasen.
 According to the 2001 Census the village had a population of 36.
 At the 2011 census the population remained less than 100 and is included in the civil parish of Goltho.
Burgh on Bain is a village and civil parish in the East Lindsey district of Lincolnshire, England.
 It is situated on the A157 road, 7 mi west from Louth and 7 miles east from Market Rasen.
 According to the 2001 Census it had a population of 114, increasing to 172 at the 2011 census.
Toft Newton is a civil parish in the West Lindsey district of Lincolnshire, England.
 It consists of the small villages of Toft next Newton and Newton by Toft, and the hamlet of Newtoft.
 It is 4 mi west from Market Rasen.
 According to the 2001 Census it had a population of 522, decreasing to 457 at the 2011 census.
Bishop Norton is a village and the main settlement of the civil parish of the same name in the West Lindsey district of Lincolnshire, England.
 The village is approximately 8 mi north-west from the market town of Market Rasen, and is close to the A15 road.
 According to the 2001 Census it had a population of 233, including Atterby and increasing to 308 at the 2011 census.
Sixhills is a village in the West Lindsey district of Lincolnshire, England, about 3 mi south-east from Market Rasen.
 It lies just south of the A631 between Market Rasen and Ludford.
 It is in the civil parish of North Willingham.