The Town of Barker is on the east county line of the Broome County and is north of Binghamton.
The east town line is the border of Chenango County.
Interstate 81, U.S. Route 11, New York State Route 79, and the Tioughnioga River pass through Barker. The interstate, in particular, makes the town's court surprisingly busy considering how small the town is.
There were 993 households out of which 37.0% had children under the age of 18 living with them, 60.5% were married couples living together, 8.6% had a female householder with no husband present, and 24.0% were non-families. 18.5% of all households were made up of individuals and 5.9% had someone living alone who was 65 years of age or older. The average household size was 2.76 and the average family size was 3.10.
In the town the population was spread out with 28.5% under the age of 18, 7.3% from 18 to 24, 30.2% from 25 to 44, 23.7% from 45 to 64, and 10.3% who were 65 years of age or older. The median age was 38 years. For every 100 females there were 107.6 males. For every 100 females age 18 and over, there were 107.0 males.
The median income for a household in the town was $37,056, and the median income for a family was $39,267. Males had a median income of $30,691 versus $21,492 for females. The per capita income for the town was $16,192. About 7.6% of families and 10.9% of the population were below the poverty line, including 12.2% of those under age 18 and 10.5% of those age 65 or over.