Daisetta is a city in Liberty County, Texas, United States. The population was 923 at the 2020 census. The city was named after residents Daiā¦Daisetta is a city in Liberty County, Texas, United States. The population was 923 at the 2020 census. The city was named after residents Daisy Barrett and Etta White. According to the United States Census Bureau, the city has a total area of 1.5 square miles, all land.