Penney Farms is located at (29.981070, -81.809948).
According to the United States Census Bureau, the town has a total area of 3.6 km² (1.4 sq mi), all land.
There were 266 households out of which 6.0% had children under the age of 18 living with them, 57.5% were married couples living together, 5.3% had a female householder with no husband present, and 35.7% were non-families. 33.5% of all households were made up of individuals and 28.2% had someone living alone who was 65 years of age or older. The average household size was 1.83 and the average family size was 2.23.
In the town the population was spread out with 5.7% under the age of 18, 1.9% from 18 to 24, 6.4% from 25 to 44, 10.2% from 45 to 64, and 75.9% who were 65 years of age or older. The median age was 76 years. For every 100 females there were 64.8 males. For every 100 females age 18 and over, there were 61.4 males.
The median income for a household in the town was $37,344, and the median income for a family was $46,875. Males had a median income of $31,875 versus $31,250 for females. The per capita income for the town was $23,929. About 8.1% of families and 16.4% of the population were below the poverty line, including 41.7% of those under age 18 and 11.5% of those age 65 or over.