They fought in the Battle of Las Guasimas on 24 June , and at the Battle of San Juan Hill from 1 -- 3 July .
However , due to the limited space aboard the SS Leona , the troopers were forced to leave their horses behind .
troopers fought in the Battle of Las Guasimas on 24 June , and at the Battle of San Juan Hill from 1 -- 3 July .
However , due to the limited space aboard the SS Leona , the troopers were forced to leave their horses behind .