Graford is a town in Palo Pinto County, Texas, United States. The population was 584 at the 2010 census.GeographyGraford is located at .According to the United States Census Bureau, the city has a total area of 0.7sqmi, all of it land.DemographicsAs of the census of 2000, there were 578 people, 213 households, and 145 families residing in the city. The population density was 819.9 people per square mile (318.8/km²). There were 238 housing units at an average density of 337.6 per square mile (131.3/km²). The racial makeup of the city was 94.64% White, 0.69% Native American, 3.63% from other races, and 1.04% from two or more races. Hispanic or Latino of any race were 4.84% of the population.There were 213 households out of which 36.6% had children under the age of 18 living with them, 58.2% were married couples living together, 8.5% had a female householder with no husband present, and 31.5% were non-families. 26.8% of all households were made up of individuals and 14.6% had someone living alone who was 65 years of age or older. The average household size was 2.71 and the average family size was 3.38.In the city, the population was spread out with 30.1% under the age of 18, 7.3% from 18 to 24, 27.9% from 25 to 44, 23.2% from 45 to 64, and 11.6% who were 65 years of age or older. The median age was 34 years. For every 100 females there were 104.2 males. For every 100 females age 18 and over, there were 94.2 males.