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Caesalpinia pulcherrima
Caesalpinia pulcherrima is a species of flowering plant in the pea family, Fabaceae, that is native to the tropics and subtropics of the Americas. It could be native to the West Indies,[2] but its exact origin is unknown due to widespread cultivation.[1] Common names for this species include Poinciana, Peacock Flower, Red Bird of Paradise, Mexican Bird of Paradise, Dwarf Poinciana, Pride of Barbados, and flamboyan-de-jardin. (Taken from http://en.wikipedia.org/wiki/Caesalpinia...)
West Indies
Thanks to FAF for putting me on the right track.