There are 2 US Post Offices in Pickett County serving a total of 4,832 residents equating to 2,416 residents per post office. It's estimated that approximately 7,712 packages are handled across the 2 county post offices annually. Pickett County is a county located in the U.S. state of Tennessee. As of the 2010 census, the population was 5,077, making it the least populous county in Tennessee. Its county seat is Byrdstown. The city of Byrdstown and the Kentucky town of Albany, 11 miles (18 km) to the northeast, are positioned between two Army Corps of Engineers lakes: Dale Hollow Lake, mainly in Tennessee, and Lake Cumberland, in Kentucky. The area is known as \"Twin Lakes\" and Byrdstown is noted as \"The Gateway To Dale Hollow Lake\". Every year thousands of people vacation at the many resorts situated along the lakes."