Grove is a town in Allegany County, New York, United States. The population was 548 at the 2010 census. Grove is in the northeast part of Allegany County, northwest of Hornell.
According to the United States Census Bureau, the town has a total area of 33.7 square miles (87.3 km), of which 33.4 square miles (86.4 km) is land and 0.35 square miles (0.9 km), or 1.00%, is water.
New York State Route 70 passes across the northeast part of the town.
Canaseraga Creek flows out of The Swamp (or the Swain Swamp if you are not from Swain) towards Canaseraga.
As of the census of 2000, there were 533 people, 213 households, and 148 families residing in the town. The population density was 15.9 people per square mile (6.1/km²). There were 427 housing units at an average density of 12.7 per square mile (4.9/km²). The racial makeup of the town was 97.00% White, 1.31% Native American, 0.19% Asian, 0.56% from other races, and 0.94% from two or more races. Hispanic or Latino of any race were 0.94% of the population.
There were 213 households out of which 26.8% had children under the age of 18 living with them, 60.6% were married couples living together, 6.6% had a female householder with no husband present, and 30.5% were non-families. 25.4% of all households were made up of individuals and 13.6% had someone living alone who was 65 years of age or older. The average household size was 2.50 and the average family size was 3.01.
In the town, the population was spread out with 23.1% under the age of 18, 7.7% from 18 to 24, 24.0% from 25 to 44, 29.3% from 45 to 64, and 15.9% who were 65 years of age or older. The median age was 42 years. For every 100 females, there were 102.7 males. For every 100 females age 18 and over, there were 97.1 males.
The median income for a household in the town was $38,750, and the median income for a family was $48,594. Males had a median income of $31,944 versus $26,071 for females. The per capita income for the town was $17,522. About 2.5% of families and 5.3% of the population were below the poverty line, including 6.7% of those under age 18 and 5.5% of those age 65 or over.