 Tway was a very successful breeder and exhibitor of American Saddlebred Horses.On his Plainview Farm, over 50 horses would be annually stalled under his direction.He was most famous for his ownership of Plainview's Julia, the 1959 and 1960 World's Grand Champion Five-gaited American Saddlebred and Plainview's Sophia Van Cleve, the 1960 World's Reserve Champion Three-Year-old Five-gaited American Saddlebred.