Both Campton and adjacent Rumney were granted by Governor Benning Wentworth in 1761 to Jabez Spencer of East Haddam, Connecticut, then settled about 1765. But Captain Spencer died before terms of the charter, which required settlement by 50 families, each farming for every 50 received, were fulfilled. Two families, named Fox and Taylor, first settled here in 1765. In 1767, Governor John Wentworth issued the heirs and others a new grant. Campton got its name when the first proprietors built a camp here to survey the two towns. Although the surface is mountainous and ledgy, farmers found good soil for cultivation in the intervales along the rivers. By 1859, when the population was 1,439, industries included one sawmill, one gristmill, one tannery and a carriage shop. The town has three covered bridges, including Blair Bridge, which is, 10 inches long, making it the second longest of those entirely within the state.
As of the census of 2000, there were 2,719 people, 1,128 households, and 759 families residing in the town. The population density was 52.4 people per square mile. There were 1,759 housing units at an average density of 33.9 per square mile. The racial makeup of the town was 98.01% White, 0.04% African American, 0.04% Native American, 0.70% Asian, 0.15% Pacific Islander, and 1.07% from two or more races. Hispanic or Latino of any race were 0.40% of the population. There were 1,128 households, out of which 30.2% had children under the age of 18 living with them, 54.8% were married couplesliving together, 8.2% had a female householder with no husband present, and 32.7% were non-families. 25.0% of all households were made up of individuals, and 8.2% had someone living alone who was 65 years of age or older. The average household size was 2.41 and the average family size was 2.89. In the town, the population was spread out, with 23.8% under the age of 18, 7.2% from 18 to 24, 30.0% from 25 to 44, 27.0% from 45 to 64, and 11.9% who were 65 years of age or older. The median age was 39 years. For every 100 females, there were 99.9 males. For every 100 females age 18 and over, there were 100.1 males. The median income for a household in the town was $39,213, and the median income for a family was $46,492. Males had a median income of $30,640 versus $24,688 for females. The per capita income for the town was $20,189. About 5.8% of families and 8.8% of the population were below the poverty line, including 9.1% of those under age 18 and 8.5% of those age 65 or over.
