Oneonta is a city in Blount County, Alabama, United States. At the 2020 census, the population was 6,938. The city is the county seat of Blou…Oneonta is a city in Blount County, Alabama, United States. At the 2020 census, the population was 6,938. The city is the county seat of Blount County. Oneonta is home to the Covered Bridge Festival. A post office called Oneonta has been in operation since 1889. The city was named after Oneonta, New York, the native home of a railroad official. In 1889, the county seat was transferred to Oneonta from Blountsville.