Martin Johnson Heade: Orchid and Hummingbird near a Mountain Waterfall (1902)
The orchid pictured is Cattleya labiata (known also as the Crimson Cattleya or Ruby-lipped Cattleya), which grows in the states of Pernambuco and Alagoas in northeastern Brazil. The plant is an epiphyte, trypically growing on the branches of trees, where light is plentiful. (Sources here and here.)