There are 9 US Post Offices in Fayette County serving a total of 23,234 residents equating to 2,582 residents per post office. It's estimated that approximately 37,084 packages are handled across the 9 county post offices annually. Fayette County is a county located in the U.S. state of Texas. As of the 2010 census, the population was 24,554. Its county seat is La Grange. The county was created in 1837 and organized the next year."