|• Total||3.8 sq mi (9.8 km2)|
|• Land||3.8 sq mi (9.7 km2)|
|• Water||0.0 sq mi (0.0 km2)|
|Elevation||479 ft (146 m)|
|• Density||1,141.3/sq mi (440.6/km2)|
|Time zone||Central (CST) (UTC-6)|
|• Summer (DST)||CDT (UTC-5)|
|GNIS feature ID||1358461|
The city of Groesbeck was dedicated as a township by Houston and Texas Central Railroad in 1869. It was named for Abraham Groesbeck, a railroad director. 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.
Groesbeck is located at (31.522907, -96.532125).
According to the United States Census Bureau, the city has a total area of 3.8 square miles (9.8 km2), of which, 3.8 square miles (9.8 km2) 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 town holds an annual Christmas Festival at the site of old Fort Parker every December. The original fort has been re-built on the original site to exact specifications.
As of the census of 2000, there were 4,291 people, 1,297 households, and 878 families residing in the city. The population density was 1,141.3 people per square mile (440.6/km²). There were 1,457 housing units at an average density of 387.5 per square mile (149.6/km²). The racial makeup of the city was 58.56% White, 24.91% African American, 0.37% Native American, 0.05% Asian, 0.02% Pacific Islander, 13.96% from other races, and 2.12% from two or more races. Hispanic or Latino of any race were 17.53% of the population.
There were 1,297 households out of which 34.0% had children under the age of 18 living with them, 46.3% were married couples living together, 16.9% had a female householder with no husband present, and 32.3% were non-families. 30.2% of all households were made up of individuals and 17.8% had someone living alone who was 65 years of age or older. The average household size was 2.55 and the average family size was 3.16.
In the city the population was spread out with 22.9% under the age of 18, 14.1% from 18 to 24, 32.3% from 25 to 44, 16.1% from 45 to 64, and 14.5% who were 65 years of age or older. The median age was 32 years. For every 100 females there were 138.8 males. For every 100 females age 18 and over, there were 148.5 males.
Mayor Jackie Levingston has served the City of Groesbeck as Mayor since 2006, after having served on City Council since 1991. Levingston previously served the City on Groesbeck City Council from 1991-1997. She was appointed Mayor Pro Tem of Groesbeck in 1997 and retained that position until elected Mayor. Mayor Levingston currently serves as President of Groesbeck Economic Development Corporation (EDC) and has held a position on the EDC Board since 1997. 
The main source of water is the Fort Parker Lake.
The city of Groesbeck has one public library, Maffett Memorial Library. The Maffett Memorial Public Library is located at 601 W. Yeagua St., also known as Hwy. 164.
The city of Groesbeck is served by the Groesbeck Independent School District, which includes five different schools: Preschool, H.O.Whitehurst, Enge Washington, Groesbeck Middle School, and Groesbeck High School.
Residents of note
- Actor Joe Don Baker was born in Groesbeck in 1936.
- National Football League player Rhett Bomar was born in Groesbeck in 1985.
- National Football League players Kenneth Sims, Frankie Smith, and Lenoy Jones played for Groesbeck High School.
- Author and Physician Larry Dossey, MD was born in Groesbeck
- "American FactFinder". United States Census Bureau. Retrieved 2008-01-31.
- "US Board on Geographic Names". United States Geological Survey. 2007-10-25. Retrieved 2008-01-31.
- "Find a County". National Association of Counties. Retrieved 2011-06-07.
- "US Gazetteer files: 2010, 2000, and 1990". United States Census Bureau. 2011-02-12. Retrieved 2011-04-23.
- Alsup, David. "Texas town still suffers effects of heat, drought; water supply down to two weeks." CNN. Monday November 21, 2011. Retrieved on November 22, 2011.
- Groesbeck Goats Football History Site
- Joe Don Baker fansite
- local newspaper
- Additional Groesbeck information
- Larry Dossey website