There are 7 US Post Offices in Weakley County serving a total of 33,119 residents equating to 4,731 residents per post office. It's estimated that approximately 52,862 packages are handled across the 7 county post offices annually. Weakley County is a county located in the northwest of the U.S. state of Tennessee. As of the 2010 census, the population was 35,021. Its county seat is Dresden, and its largest city is Martin, the home of the University of Tennessee at Martin. The county was established by the Tennessee General Assembly on October 21, 1823, and is named for U. S. Congressman Robert Weakley (1764\u20131845). Weakley County comprises the Martin, TN Micropolitan Statistical Area."