Green Hill, TexasGreen Hill, or Greenhill, is an unincorporated community in Titus County, Texas, United States.HistoryGreen Hill is situated on Farm to Market Road 2152, and was settled in the 1850s. It was named for pastor E. H. Green. A post office operated from 1857 to 1860, and reopened from 1872 to 1907. By 1933, it had a population of 75.