Cleburne is a city in and the county seat of Johnson County, Texas, United States. As of the 2020 census, its population was 31,352. The city is …Cleburne is a city in and the county seat of Johnson County, Texas, United States. As of the 2020 census, its population was 31,352. The city is named in honor of Patrick Cleburne, a Confederate general. Lake Pat Cleburne, the reservoir that provides water to the city and surrounding area, is also named after him.
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