|Brewster County Texas Cities/Towns - Alpine (County Seat), Marathon
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Brewster County is a county located in western part of the U.S. state of Texas, along the border with Mexico. As of the 2000 census, the population is 8,866. Its county seat and only city is Alpine
Brewster is named for Henry Percy Brewster, a secretary of war for the Republic of Texas. The county is the largest in the state, over two times the size of the state of Delaware.