As of the census of 2000, there were 1,773 people, 669 households, and 519 families residing in the township.

The population density was . There were 725 housing units at an average density of 19.3/sq&nbsp;mi (7.4/km<sup>2</sup>).

The racial makeup of the township was 99.61% White, 0.06% African American, 0.11% Asian, and 0.23% from two or more races.

There were 669 households, out of which 36.5% had children under the age of eighteen living with them; 69.1% were married couples living together, 4.9% had a female householder with no husband present, and 22.4% were non-families. 18.1% of all households were made up of individuals, and 7.6% had someone living alone who was sixty-five years of age or older.

The average household size was 2.65 and the average family size was 3.02.

Within the township, the population was spread out, with 24.8% of residents who were under the age of eighteen, 7.8% who were aged eighteen to twenty-four, 30.3% who were aged twenty-five to forty-four, 25.2% who were aged forty-five to sixty-four, and 11.9% who were sixty-five years of age or older. The median age was thirty-eight years.

For every one hundred females there were 104.7 males. For every one hundred females who were aged eighteen or older, there were 99.1 males.

The median income for a household in the township was $40,045, and the median income for a family was $45,368. Males had a median income of $30,691 compared with that of $22,022 for females.

The per capita income for the township was $18,887.

Approximately 4.2% of families and 6.1% of the population were living below the poverty line, including 6.5% of those who were under the age of eighteen and 4.3% of those who were aged sixty-five or older.

References

  • Limestone Township listing at Clarion County Association of Township Officials