The city was first settled circa 1872 when the St. Louis, Iron Mountain and Southern Railroad built its tracks approximately one southeast of Old Austin. Many residents of Old Austin moved near the railroad tracks, in some cases uprooting and transporting entire buildings. The new city forming near the tracks was originally known as Austin Station to distinguish it from the original Austin, but eventually became known as Austin while the old community became known as Old Austin.
Austin is located at (35.005248, -91.989167).
According to the United States Census Bureau, the city has a total area of 3.0 square miles (7.8 km2), all land.
As of the census of 2010, there were 2,038 people. 218 households, and 173 families residing in the city. The population density was 202.4 people per square mile (78.1/km²). There were 236 housing units at an average density of 78.9/sq mi (30.5/km²). The racial makeup of the city was 96.20% White, 0.17% Black or African American, 0.17% Native American, 1.32% from other races, and 2.15% from two or more races. 5.62% of the population were Hispanic or Latino of any race.
There were 218 households out of which 38.1% had children under the age of 18 living with them, 65.1% were married couples living together, 8.3% had a female householder with no husband present, and 20.2% were non-families. 15.1% of all households were made up of individuals and 6.9% had someone living alone who was 65 years of age or older. The average household size was 2.78 and the average family size was 3.09.
In the city, the population was spread out with 26.4% under the age of 18, 9.9% from 18 to 24, 32.7% from 25 to 44, 21.5% from 45 to 64, and 9.4% who were 65 years of age or older. The median age was 36 years. For every 100 females, there were 103.0 males. For every 100 females age 18 and over, there were 103.2 males.
The median income for a household in the city was $44,063, and the median income for a family was $49,107. Males had a median income of $30,069 versus $21,116 for females. The per capita income for the city was $17,369. About 3.6% of families and 6.3% of the population were below the poverty line, including 7.6% of those under age 18 and 6.8% of those age 65 or over.