Garza County is a county located in the U.S. state of Texas. As of the 2010 census, its population was 6,461. Its county seat is Post. The county was created in 1876 and later organized in 1907. Garza is named for a pioneer Bexar County family, as it was once a part of that county. It is located southeast of Lubbock.A leading civic figure in Garza County was until his death in 2011 Giles McCrary, a rancher, oil developer, investor, and art collector.