|Elevation||144 ft (43.9 m)|
|Area||4.28 km2 (1.65 sq mi)|
|- land||4.26 km2 (1.64 sq mi)|
|- water||0.02 km2 (0.01 sq mi), 0.47%|
|Density||124.9 / km2 (323.5 / sq mi)|
|- summer (DST)||CDT (UTC-5)|
Elizabeth is located at .(30.867410, -92.794429)
As of the census of 2000, there were 574 people, 191 households, and 165 families residing in the town. The population density was 353.9 people per square mile (136.8/km²). There were 205 housing units at an average density of 126.4 per square mile (48.9/km²). The racial makeup of the town was 90.07% White, 4.36% African American, 1.22% Native American, 1.22% from other races, and 3.14% from two or more races. Hispanic or Latino of any race were 2.79% of the population. Elizabeth's closest neighbor in Allen Parish is Oakdale, LA. Oakdale is located to the east of Elizabeth.
There were 191 households out of which 47.1% had children under the age of 18 living with them, 61.8% were married couples living together, 22.0% had a female householder with no husband present, and 13.6% were non-families. 11.0% of all households were made up of individuals and 5.8% had someone living alone who was 65 years of age or older. The average household size was 3.01 and the average family size was 3.17.
In the town the population was spread out with 32.2% under the age of 18, 9.8% from 18 to 24, 26.8% from 25 to 44, 19.2% from 45 to 64, and 12.0% who were 65 years of age or older. The median age was 30 years. For every 100 females there were 82.2 males. For every 100 females age 18 and over, there were 86.1 males.
The median income for a household in the town was $28,750, and the median income for a family was $30,375. Males had a median income of $30,000 versus $21,250 for females. The per capita income for the town was $10,259. About 14.8% of families and 15.5% of the population were below the poverty line, including 20.3% of those under age 18 and 3.3% of those age 65 or over.
Notable residents 
- "Geographic Identifiers: 2010 Demographic Profile Data (G001): Elizabeth town, Louisiana". U.S. Census Bureau, American Factfinder. Retrieved May 14, 2013.
- "US Gazetteer files: 2010, 2000, and 1990". United States Census Bureau. 2011-02-12. Retrieved 2011-04-23.
- "American FactFinder". United States Census Bureau. Retrieved 2008-01-31.