Winsor Township was named for Hans C. Widness, an early settler and native of Norway.

As of the census[1] of 2000, there were 146 people, 56 households, and 38 families residing in the township.

There were 77 housing units at an average density of 2.2/sq mi (0.8/km2).

28.6% of all households were made up of individuals, and 8.9% had someone living alone who was 65 years of age or older.

There were none of the families and 1.7% of the population living below the poverty line, including no under eighteens and none of those over 64.