The old "Fashion Course," on Long Island, which was formerly the scene of the triumphs of the monarchs of the turf, has of late been eclipsed by the course at "Jerome Park," in West Chester county. This course is situated near Fordham, and is the private property of Mr. Leonard W. Jerome. The grounds are large, and handsomely ornamented, and the race- course has been prepared with great care and skill. The meetings of the American Jockey Club are held here. They attract vast crowds.