Grimscote is a hamlet in the civil parish of Cold Higham, in the West Northamptonshire district of Northamptonshire, England. Grimscote is one of 4 settlements that make up Cold Higham parish. According to the 2011 UK census, the population in Grimscote in 2011 was 241. It is understood that the name Grimscote means "Grim's Cott", Grim being another name for Woden.