There are 3 US Post Offices in Menard County serving a total of 2,121 residents equating to 707 residents per post office. It's estimated that approximately 3,385 packages are handled across the 3 county post offices annually. Menard County is a county located on the Edwards Plateau in the U.S. state of Texas. As of the 2010 census, its population was 2,242. Its seat is Menard. The county was created in 1858 and later organized in 1871. It is named for Michel Branamour Menard, the founder of Galveston, Texas.