Euphorbia pulcherrima, the botanical name, or poinsettia as we call it is native to Mexico and Guatemala in Central America. Poinsettias are fascinating winter blooming small shrubs or trees which can grow anywhere from about two to sixteen feet tall. People not familiar with poinsettia plants believe that the colored bracts are the actual flowers. But the flowers, called cyathia, are located at the center of each leaf bunch. The history of poinsettia plants dates back to the Aztecs.