Conway Springs was founded in 1884. Its name is derived from both Conway Township and a mineral spring nearby. Captain Hiram Cranmer built the first home in Conway Springs.
Geography
Conway Springs is located at . According to the United States Census Bureau, the city has a total area of, all of it land.
As of the census of 2010, there were 1,272 people, 450 households, and 313 families living in the city. The population density was. There were 506 housing units at an average density of. The racial makeup of the city was 96.6% White, 0.6% African American, 0.6% Native American, 0.4% from other races, and 1.9% from two or more races. Hispanic or Latino of any race were 2.1% of the population. There were 450 households of which 40.2% had children under the age of 18 living with them, 56.9% were married couplesliving together, 8.4% had a female householder with no husband present, 4.2% had a male householder with no wife present, and 30.4% were non-families. 27.6% of all households were made up of individuals and 12.8% had someone living alone who was 65 years of age or older. The average household size was 2.73 and the average family size was 3.38. The median age in the city was 34.1 years. 32.5% of residents were under the age of 18; 6% were between the ages of 18 and 24; 23.4% were from 25 to 44; 21.5% were from 45 to 64; and 16.6% were 65 years of age or older. The gender makeup of the city was 47.2% male and 52.8% female.
2000 census
As of the census of 2000, there were 1,322 people, 469 households, and 318 families living in the city. The population density was 1,684.6 people per square mile. There were 501 housing units at an average density of 638.4 per square mile. The racial makeup of the city was 97.05% White, 0.23% African American, 0.23% Native American, 1.13% from other races, and 1.36% from two or more races. Hispanic or Latino of any race were 1.29% of the population. There were 469 households out of which 38.2% had children under the age of 18 living with them, 55.2% were married couples living together, 10.2% had a female householder with no husband present, and 32.0% were non-families. 31.1% of all households were made up of individuals and 16.2% had someone living alone who was 65 years of age or older. The average household size was 2.71 and the average family size was 3.46. In the city, the population was spread out with 33.5% under the age of 18, 7.2% from 18 to 24, 24.4% from 25 to 44, 17.5% from 45 to 64, and 17.4% who were 65 years of age or older. The median age was 34 years. For every 100 females, there were 86.2 males. For every 100 females age 18 and over, there were 78.7 males. The median income for a household in the city was $37,566, and the median income for a family was $48,000. Males had a median income of $35,893 versus $21,875 for females. The per capita income for the city was $15,470. About 3.5% of families and 4.8% of the population were below the poverty line, including 3.7% of those under age 18 and 6.3% of those age 65 or over.