Orleans is located at . According to the 2010 census, Orleans has a total area of, all land.
Demographics
2010 census
As of the census of 2010, there were 2,142 people, 904 households, and 581 families living in the town. The population density was. There were 1,000 housing units at an average density of. The racial makeup of the town was 98.6% White, 0.1% African American, 0.3% Native American, 0.4% Asian, and 0.7% from two or more races. Hispanic or Latino of any race were 0.6% of the population. There were 904 households of which 32.5% had children under the age of 18 living with them, 48.7% were married couplesliving together, 11.1% had a female householder with no husband present, 4.5% had a male householder with no wife present, and 35.7% were non-families. 31.5% of all households were made up of individuals and 15.8% had someone living alone who was 65 years of age or older. The average household size was 2.37 and the average family size was 2.98. The median age in the town was 40.3 years. 24.5% of residents were under the age of 18; 8.3% were between the ages of 18 and 24; 23.8% were from 25 to 44; 25.4% were from 45 to 64; and 17.8% were 65 years of age or older. The gender makeup of the town was 47.2% male and 52.8% female.
2000 census
As of the census of 2000, there were 2,273 people, 922 households, and 614 families living in the town. The population density was 1,449.3 people per square mile. There were 992 housing units at an average density of 632.5 per square mile. The racial makeup of the town was 98.77% White, 0.13% African American, 0.04% Native American, 0.13% from other races, and 0.92% from two or more races. Hispanic or Latino of any race were 1.01% of the population. There were 922 households out of which 32.3% had children under the age of 18 living with them, 53.7% were married couples living together, 9.9% had a female householder with no husband present, and 33.4% were non-families. 30.0% of all households were made up of individuals and 16.8% had someone living alone who was 65 years of age or older. The average household size was 2.47 and the average family size was 3.08. In the town, the population was spread out with 28.4% under the age of 18, 8.1% from 18 to 24, 26.5% from 25 to 44, 20.2% from 45 to 64, and 16.8% who were 65 years of age or older. The median age was 36 years. For every 100 females, there were 90.4 males. For every 100 females age 18 and over, there were 83.7 males. The median income for a household in the town was $27,138, and the median income for a family was $35,150. Males had a median income of $26,630 versus $19,375 for females. The per capita income for the town was $14,476. About 12.3% of families and 17.2% of the population were below the poverty line, including 21.9% of those under age 18 and 16.3% of those age 65 or over.
