This is an Orient buckboard. I found this very photo, and this is the inscription that was attached;
"The first automobile in Vero Beach was an Orient buckboard, made between 1903 and 1908. Shown here are Mr. and Mrs. N. O. Penny and their children. Mrs. Penny was the 3-year-old sister of Charles Gifford when she came to Vero Beach to live with her parents in 1888. The automobile was brought in by boat and assembled in Vero Beach. Photo from "Stories of Early Life Along Beautiful Indian River" Look Back In Time"