The town of Evant was first a settlement called "Langford Cove", settled by Asa Langford and his family in 1855. Langford served as postmaster in the first post office, named "Cove", established in February 1876. By the late 1850s, Langford had built a general store, a blacksmith shop, and a sawmill near the current site of the town. An Alabama man named Evant Brooks purchased some of land from Langford in the late 1870s. In 1881, Brooks donated of land "for sale and settlement as a town", and by 1884 the growing community changed its name to "Evant" in Brooks' honor. In the 1890s, the community had a cotton gin, three general stores, a gristmill, and a hotel. Its population was around 10 residents. Evant continued to grow, reporting a peak population of 550 sometime in the 1950s. The town was formally incorporated in the mid-1970s. Its population at the time was 540 and has continued to shrink. According to the 1990 census, the town's population was 444, and by 2000 it had dropped to 393.
As of the census of 2000, there were 393 people, 159 households, and 100 families residing in the town. The population density was 645.0 people per square mile. There were 189 housing units at an average density of 310.2 per square mile. The racial makeup of the town was 87.28% White, 1.53% Native American, 0.76% Asian, 0.25% Pacific Islander, 7.89% from other races, and 2.29% from two or more races. Hispanic or Latino of any race were 15.52% of the population. There were 159 households, out of which 33.3% had children under the age of 18 living with them, 49.7% were married couplesliving together, 11.3% had a female householder with no husband present, and 36.5% were non-families. 34.0% of all households were made up of individuals, and 20.8% had someone living alone who was 65 years of age or older. The average household size was 2.47 and the average family size was 3.25. In the town, the population was spread out, with 31.6% under the age of 18, 4.6% from 18 to 24, 27.2% from 25 to 44, 17.3% from 45 to 64, and 19.3% who were 65 years of age or older. The median age was 36 years. For every 100 females, there were 95.5 males. For every 100 females age 18 and over, there were 83.0 males. The median income for a household in the town was $22,500, and the median income for a family was $30,227. Males had a median income of $23,333 versus $21,250 for females. The per capita income for the town was $12,589. About 14.7% of families and 25.4% of the population were below the poverty line, including 35.7% of those under age 18 and 11.8% of those age 65 or over.
