Vernonburg is part of the Savannah Metropolitan Statistical Area.
As of the census of 2000, there were 138 people, 59 households, and 47 families residing in the town. The population density was 380.4 people per square mile (148.0/km²). There were 69 housing units at an average density of 190.2/sq mi (74.0/km²). The racial makeup of the town was 97.10% White, and 2.90% from two or more races.
There were 59 households out of which 20.3% had children under the age of 18 living with them, 74.6% were married couples living together, 3.4% had a female householder with no husband present, and 20.3% were non-families. 18.6% of all households were made up of individuals and 11.9% had someone living alone who was 65 years of age or older. The average household size was 2.34 and the average family size was 2.60.
In the town the population was spread out with 17.4% under the age of 18, 2.2% from 18 to 24, 15.9% from 25 to 44, 36.2% from 45 to 64, and 28.3% who were 65 years of age or older. The median age was 52 years. For every 100 females there were 106.0 males. For every 100 females age 18 and over, there were 90.0 males.
The median income for a household in the town was $105,581, and the median income for a family was $153,670. Males had a median income of $100,000+ versus $11,563 for females. The per capita income for the town was $49,391. None of the population and none of the families were below the poverty line.