According to the United States Census Bureau, the town has a total area of, of which, or 0.01%, are water. The Genesee River forms the eastern border of the town, and the west town line is the border of Wyoming County. The concurrent routes of U.S. 20A and New York State Route 39 form an east-west highway across the town from Pine Tavern to the eastern town line. West of Pine Tavern, US 20A and NY 39 follow separate roadways to the western town line. New York State Route 36 is a north-south highway, intersecting US-20A and NY-39 at Leicester village.
As of the census of 2000, there were 2,287 people, 849 households, and 640 families residing in the town. The population density was 68.2 people per square mile. There were 900 housing units at an average density of 26.8 per square mile. The racial makeup of the town was 97.86% White, 0.87% Black or African American, 0.09% Native American, 0.04% Asian, 0.48% from other races, and 0.66% from two or more races. Hispanic or Latino of any race were 1.01% of the population. There were 849 households out of which 34.9% had children under the age of 18 living with them, 60.3% were married couples living together, 9.5% had a female householder with no husband present, and 24.5% were non-families. 20.0% of all households were made up of individuals and 8.0% had someone living alone who was 65 years of age or older. The average household size was 2.66 and the average family size was 3.04. In the town, the population was spread out with 26.3% under the age of 18, 7.4% from 18 to 24, 29.5% from 25 to 44, 23.6% from 45 to 64, and 13.2% who were 65 years of age or older. The median age was 37 years. For every 100 females, there were 103.8 males. For every 100 females age 18 and over, there were 102.0 males. The median income for a household in the town was $41,230, and the median income for a family was $46,652. Males had a median income of $35,450 versus $26,420 for females. The per capita income for the town was $17,655. About 4.6% of families and 8.2% of the population were below the poverty line, including 7.3% of those under age 18 and 4.4% of those age 65 or over.
Education
Students who reside in the town of Leicester typically attend York Central School. Students living on the borders of Leicester could also attend the schools of bordering towns including Geneseo, Perry and Mt. Morris.
Notable people
George W. Patterson, US congressman
Communities and locations in the town
Beards Creek - A tributary of the Genesee River, named after native leader "Little Beard".
Big Tree - Former native community and later a reservation partly in the town.
