Lexington is a town in Lee County, Texas, United States. Its population was 1,217 at the 2020 census. Lexington, a cattle trading town, is approximately 40 miles west of Bryan. Lexington's first post office was called String Prairie in 1848, named for the surrounding prairie. The first postmaster was veteran and legislator, James Shaw. In 1850, resideā¦Lexington is a town in Lee County, Texas, United States. Its population was 1,217 at the 2020 census. Lexington, a cattle trading town, is approximately 40 miles west of Bryan. Lexington's first post office was called String Prairie in 1848, named for the surrounding prairie. The first postmaster was veteran and legislator, James Shaw. In 1850, residents changed the name of the settlement to Lexington to honor the location of the first battle of the American Revolution.