Actually, they only have one American (4-4-0) at Walt Disney World, not two. The other engines are a 2-6-0 Mogul, and two 4-6-0s. They do look similar, however, because all four engines share identical cabs, domes, pilots and other details.
The Baldwin spec sheet for the Disney 4-4-0 (the Roy O. Disney, named for Walt's brother), indicates that it was built in 1916 as an 8-20C class, with 13" x 18" cylinders, 44" diameter drivers , and a rated tractive force of 9,400 pounds at 160 psi boiler pressure.
Disneyland in California has two Americans custom built for them in 1954/55.