Limestone is a hamlet (and census-designated place) in Cattaraugus County, New York, United States. The population was 389 at the 2010 census.
Limestone is located at 42°1′34″N 78°37′59″W / 42.02611°N 78.63306°W / 42.02611; -78.63306 (42.026029, -78.632983).
According to the United States Census Bureau, the former village has a total area of 1.6 square miles (4.2 km), of which 0.01 square miles (0.03 km), or 0.64%, is water.
The hamlet is 2 miles (3 km) north of the state line of Pennsylvania. Limestone is located on U.S. Route 219, and is on the east side of the Allegany State Park. Tunungwant Creek (also known as “Tuna Creek”), a tributary of the Allegheny River, flows south to north along the village’s western side. Nichols Run flows from the east through the center of the hamlet.
As of the census of 2000, there were 411 people, 170 households, and 109 families residing in the then-village. The population density was 252.3 people per square mile (97.4/km²). There were 188 housing units at an average density of 115.4 per square mile (44.5/km²). The racial makeup of the village was 97.08% White, 0.24% African American, 1.22% Native American, and 1.46% from two or more races. Hispanic or Latino of any race were 0.73% of the population.
There were 170 households out of which 29.4% had children under the age of 18 living with them, 50.6% were married couples living together, 10.0% had a female householder with no husband present, and 35.3% were non-families. 31.8% of all households were made up of individuals and 15.3% had someone living alone who was 65 years of age or older. The average household size was 2.42 and the average family size was 2.93.
The population was spread out with 24.6% under the age of 18, 7.3% from 18 to 24, 29.0% from 25 to 44, 24.3% from 45 to 64, and 14.8% who were 65 years of age or older. The median age was 39 years. For every 100 females, there were 93.0 males. For every 100 females age 18 and over, there were 81.3 males.
The median income for a household was $28,594, and the median income for a family was $33,125. Males had a median income of $24,583 versus $18,846 for females. The per capita income was $14,152. About 5.0% of families and 8.8% of the population were below the poverty line, including 8.9% of those under age 18 and 7.5% of those age 65 or over.