There are 5 US Post Offices in Refugio County serving a total of 7,475 residents equating to 1,495 residents per post office. It's estimated that approximately 11,931 packages are handled across the 5 county post offices annually. Refugio County (/r\u0259\u02c8fj\u028a\u0259ri.o\u028a/ r\u0259-FEWR-ee-oh) is a county located in the U.S. state of Texas. As of the 2010 census, the population was 7,383. Its county seat is Refugio. The county was created as a municipality of Mexico in 1834 and organized as a county in 1837."