His best offspring was considered to be Dragonet, who finished third in the Futurity Stakes, then the most important race for two-year-olds. Tremont was euthanized at Belle Meade Stud in March 1899 after an accident in which he fractured a hip.
Tremont's most notable descendant was Dragonet, which excelled in the Futurity Stakes, a crucial contest for young horses. However, Tremont's life was cut short at Belle Meade Stud in March 1899 after he suffered a severe hip injury in an accident.