Amherst, on U.S. Route 84 and the BNSF Railway in west central Lamb County, began in 1913 as a Pecos and Northern Texas Railway station for William E. Halsell's Mashed O Ranch. A townsite was platted a mile from the Santa Fe depot in 1923 and named for Amherst College by a railroad official. The post office opened in 1924. By 1930 thirty-five businesses and 964 people constituted a lively trade center, and amenities included a newspaper, the Amherst Argus. For many years the Amherst Hotel, the town's first permanent building, was the most popular stopping place between Clovis, New Mexico and Lubbock, Texas. The population in Amherst was 749 in 1940, when the first co-op hospital in Texas was built there. Incorporation came in 1970, when the population was 825. In 1980 the population was 971, and businesses included five cotton gins and two grain elevators. Sod House Spring Monument, commemorating the first cow camp in the area, is located northwest of Amherst, and Plant X, one of Southwestern Public Service's largest generating plants, is nine miles north.
Demographics
As of the census of 2000, there were 791 people, 269 households, and 210 families residing in the city. The population density was 951.4 people per square mile. There were 341 housing units at an average density of 410.2 per square mile. The racial makeup of the city was 68.90% White, 9.36% African American, 0.25% Native American, 21.11% from other races, and 0.38% from two or more races. Hispanic or Latino of any race were 39.95% of the population. There were 269 households out of which 36.1% had children under the age of 18 living with them, 62.1% were married couplesliving together, 11.5% had a female householder with no husband present, and 21.6% were non-families. 20.1% of all households were made up of individuals and 10.8% had someone living alone who was 65 years of age or older. The average household size was 2.83 and the average family size was 3.25. In the city, the population was spread out with 31.2% under the age of 18, 7.5% from 18 to 24, 24.3% from 25 to 44, 18.1% from 45 to 64, and 19.0% who were 65 years of age or older. The median agewas 34 years. For every 100 females, there were 87.0 males. For every 100 females age 18 and over, there were 83.8 males. The median income for a household in the city was $24,276, and the median income for a family was $25,714. Males had a median income of $22,625 versus $19,063 for females. The per capita income for the city was $9,911. About 25.0% of families and 31.7% of the population were below the poverty line, including 45.8% of those under age 18 and 8.4% of those age 65 or over.