Independence is a town in Allegany County, New York, United States. The population was 1,167 at the 2010 census. The town is in the southeast corner of Allegany County, southeast of the village of Wellsville.
According to the United States Census Bureau, the town has a total area of 34.5 square miles (89 km), all of it land.
The southern town line forms a border with Pennsylvania and the eastern town line is the border with Steuben County, New York.
New York State Route 248 is a major east-west highway in the town that intersects with New York State Route 248A (Cryder Creek Road) west of the community of Whitesville.
Cryder Creek is a stream flowing out the southwest of the town, and Chenunda Creek flows across the northern part of the town. Both creeks are tributaries of the Genesee River.
As of the 2000 United States Census, there were 1,074 people, 400 households, and 301 families in the town. The population density was 31.1/sqmi (12.0/km²). There were 487 housing units at an average density of 14.1/sqmi (5.45/km²). The racial makeup of the town was 98.98% White, 0.37% African American, 0.09% Native American, 0.09% Asian, and 0.47% from two or more races. Hispanic or Latino of any race were 0.37% of the population.
There were 400 households out of which 35.8% had children under the age of 18 living with them, 58.8% were married couples living together, 10.8% had a female householder with no husband present, and 24.8% were non-families. 20.3% of all households were made up of individuals and 10.8% had someone living alone who was 65 years of age or older. The average household size was 2.69 and the average family size was 3.04.
The town population contained 27.5% under the age of 18, 9.3% from 18 to 24, 24.1% from 25 to 44, 24.5% from 45 to 64, and 14.6% who were 65 years of age or older. The median age was 38 years. For every 100 females, there were 102.6 males. For every 100 females age 18 and over, there were 96.2 males.
The median income for a household in the town was $33,438. Males had a median income of $27,961 versus $19,583 for females. The per capita income for the town was $13,109. About 11.0% of families and 13.3% of the population were below the poverty line, including 17.8% of those under age 18 and 8.0% of those age 65 or over.