Fellsmere is a city in Indian River County, Florida, United States. It is part of the Sebastian–Vero Beach Metropolitan Statistical Area. The population was 4,834 at the 2020 census. It is home of the Fellsmere Frog Leg Festival and was home to the now closed National Elephant Center. Fellsmere is the first place in Florida where women were allowed to vote. In a municipal election on June 19, 1915, resident Zena M. Dreier became the first woman to legally cast a ballot in the American South, five years before the 19th Amendment established women's suffrage nationally.