Groesbeck, Texas  Groesbeck is a city in and the county seat of Limestone County, Texas, United States. The population was 4,328 at the 2010 census. The community is named after a railroad employee. The city of Groesbeck was dedicated as a township by Houston and Texas Central Railroad in 1869. It was named for Abram Groesbeeck, a railroad director. The difference in spelling between the person and town is a result of the Post Office directives for simpler spelling. Development of its city government began in 1871. Groesbeck became the county seat of Limestone county in 1873, and is home to the "Million Dollar Courthouse." Old Fort Parker Historical Site on north side of Groesbeck is preserved to tell the story of Cynthia Ann Parker, who was captured by Comanches, and became the mother of Quannah Parker, the last Comanche chief. The last legal execution in Limestone County occurred on April 12, 1895, when Richard Burleson, who had been convicted of murdering James Garrett McKinnon, was hanged in front of the courthouse in Groesbeck. Groesbeck is located at (31.522907, -96.532125). According to the United States Census Bureau, the city has a total area of , of which, of it is land and 0.27% is water. The community is located at the junction of State Highways 14 and 164. Groesbeck is the closest town to historic Old Fort Parker. See Fort Parker massacre. The Fort holds an annual Christmas event at the site of old Fort Parker every December. The original fort has been re-built on the original site to exact specifications. At the 2010 census, 4,328 people, 1,286 households, and 864 families lived in the city. The population density was 989 people per square mile (382/km²). The 1,473 housing units averaged 336.8 per square mile (130/km²). The racial makeup of the city was 65.36% White, 20.2% African American, 0.3% Native American, 0.03% Asian, 11.3% from other races, and 2.7% from two or more races. Hispanics or Latinos of any race were 20.9%. Of the 1,286 households, 32.6% had children under the age of 18 living with them, 45.8% were married couples living together, 17.0% had a female householder with no husband present, and 32.8% were not families.