Auburn is a home rule-class city in Logan County, Kentucky, in the United States. The population was 1,444 at the 2000 census. Originally called Federal Grove, the present name dates from the 1860s, after Auburn, New York. It was originally incorporated by the state assembly in 1865 and later reincorporated in 1878.GeographyAuburn is located at .According to the United States Census Bureau, the city has a total area of 1.8sqmi, all land.DemographicsAs of the census of 2000, there were 1,444 people, 584 households, and 397 families residing in the city. The population density was 821.8 people per square mile (316.8/km²). There were 653 housing units at an average density of 371.6 per square mile (143.3/km²). The racial makeup of the city was 90.86% White, 6.86% African American, 0.14% Native American, 0.14% Asian, and 2.01% from two or more races. Hispanic or Latino of any race were 0.69% of the population.There were 584 households out of which 32.2% had children under the age of 18 living with them, 50.5% were married couples living together, 12.7% had a female householder with no husband present, and 32.0% were non-families. 29.3% of all households were made up of individuals and 15.4% had someone living alone who was 65 years of age or older. The average household size was 2.36 and the average family size was 2.88.
