George Franklin Archer and the Archer Residence Charles Spencer Humphreys (1818-1880)

The picture has something of this: cavalry, horse, seated, people, mammal, equestrian, racehorse, saddle, jockey, mare, man, rider, competition, stallion, dressage, horseback, equine, motion.
Perhaps it’s a painting of a man riding on the back of a brown horse in front of a white fence with a black fence and a building in the background.