Brackettville is a city in Kinney County, Texas, United States. The population was 1,341 at the 2020 census, down from 1,688 at the 20…Brackettville is a city in Kinney County, Texas, United States. The population was 1,341 at the 2020 census, down from 1,688 at the 2010 census. It is the county seat of Kinney County. Founded in 1852 as "Las Moras", the town initially was a supply stop on the old San Antonio-El Paso road and a supply depot for the U.S. Army's Fort Clark. Later the town was named "Brackett" after Oscar B. Brackett, the owner of the first dry goods store in the area. In 1873, when a post office was awarded, "ville" was appended to the name to differentiate it from another town.