Leakey is a city in and the county seat of Real County, Texas, United States. The population was 315 at the 2020 census. The city is nameā¦Leakey is a city in and the county seat of Real County, Texas, United States. The population was 315 at the 2020 census. The city is named for John H. Leakey, a pioneer from Tennessee. The Alto Frio Baptist Encampment is located to the southeast of the community.