Hatfield, IndianaHatfield is an unincorporated census-designated place in Luce [Township, Spencer County, Indiana|Luce Township], Spencer [County, Indiana|Spencer County], in the U.S. state of Indiana. Its population was 813 at the 2010 census.HistoryHatfield was originally called Fair Fight, and under the latter name was laid out in 1883 by James Hatfield. A post office called Hatfield has been in operation since 1886.Demographics