According to the United States Census Bureau, the city has a total area of 0.2 square miles (0.6 km²), all of it land.
There were 24 households out of which 50.0% had children under the age of 18 living with them, 66.7% were married couples living together, 8.3% had a female householder with no husband present, and 16.7% were non-families. 16.7% of all households were made up of individuals and 16.7% had someone living alone who was 65 years of age or older. The average household size was 3.13 and the average family size was 3.45.
In the city the population was spread out with 29.3% under the age of 18, 5.3% from 18 to 24, 30.7% from 25 to 44, 17.3% from 45 to 64, and 17.3% who were 65 years of age or older. The median age was 40 years. For every 100 females there were 92.3 males. For every 100 females age 18 and over, there were 103.8 males.
The median income for a household in the city was $39,583, and the median income for a family was $39,583. Males had a median income of $36,250 versus $11,250 for females. The per capita income for the city was $36,485. There were 5.3% of families and 11.8% of the population living below the poverty line, including 17.4% of under eighteens and none of those over 64.
The Galveston, Harrisburg and San Antonio Railroad had chosen Spofford over Brackettville. At Spofford they laid a spur to Eagle Pass and the main line continued on to Langtry.
The population reached the high water mark of 373 people in the mid-1940s. After the school consolidations in the 40s - Spofford's students were bussed to Brackettville. In 1961 the population was only 138 and it went as low as 54 people in the mid 70s.