As of the census[2] of 2000, there were 965 people, 422 households, and 316 families residing in the township.
There were 977 housing units at an average density of 37.1 per square mile (14.3/km2).
There were 422 households, out of which 20.1% had children under the age of 18 living with them, 69.2% were married couples living together, 2.6% had a female householder with no husband present, and 25.1% were non-families.
20.9% of all households were made up of individuals, and 8.1% had someone living alone who was 65 years of age or older.
In 2014, a Great Pyrenees dog named Duke[a] won the annual election for the ceremonial mayorship of Cormorant.