Canwick is a village and civil parish in the North Kesteven district of Lincolnshire, England. The population of the civil parish at the 2011 census was 324. It is situated 1 mile south from Lincoln. The village overlooks the Witham Valley, where the River Witham follows an ice-age cut through the jurassic limestone ridge which forms the spine of the …Canwick is a village and civil parish in the North Kesteven district of Lincolnshire, England. The population of the civil parish at the 2011 census was 324. It is situated 1 mile south from Lincoln. The village overlooks the Witham Valley, where the River Witham follows an ice-age cut through the jurassic limestone ridge which forms the spine of the county.