Greenwood is a town in Steuben County, New York, United States. The population was 849 at the 2000 census.
According to the United States Census Bureau, the town has a total area of 41.3 square miles (107 km), all of it land.
New York State Route 248 (north-south) and New York State Route 417 intersect north of Greenwood village.
The northern border is the Town of Hartsville and Town of Canisteo, and the southern border is the Town of West Union and the Town of Troupsburg. The west border is the Town of Andover in Allegany County, and the east border is the Town of Jasper.
As of the census of 2000, there were 849 people, 325 households, and 231 families residing in the town. The population density was 20.6 people per square mile (7.9/km²). There were 439 housing units at an average density of 10.6 per square mile (4.1/km²). The racial makeup of the town was 98.23% White, 0.24% African American, 0.12% Native American, 0.35% from other races, and 1.06% from two or more races. Hispanic or Latino of any race were 0.24% of the population.
There were 325 households out of which 32.0% had children under the age of 18 living with them, 59.1% were married couples living together, 7.1% had a female householder with no husband present, and 28.9% were non-families. 25.8% of all households were made up of individuals and 12.9% had someone living alone who was 65 years of age or older. The average household size was 2.61 and the average family size was 3.10.
In the town, the population was spread out with 27.1% under the age of 18, 8.5% from 18 to 24, 23.8% from 25 to 44, 27.4% from 45 to 64, and 13.2% who were 65 years of age or older. The median age was 38 years. For every 100 females, there were 104.6 males. For every 100 females age 18 and over, there were 103.6 males.
The median income for a household in the town was $29,750, and the median income for a family was $37,841. Males had a median income of $28,250 versus $18,750 for females. The per capita income for the town was $13,578. About 19.0% of families and 19.5% of the population were below the poverty line, including 28.6% of those under age 18 and 16.4% of those age 65 or over.