It's the same great game I enjoy today.
By the way, President Calvin and wife Grace Coolidge were big baseball fans. There's a fantastic display of the couple's baseball memorabilia at the president's boyhood home in Vermont. Coolidge attended the deciding game seen in the film.
The old Washington Senators, not to be confused with the later Washington Senators, who later became the Texas Rangers (or the current Washington Nationals, who used to be the Montreal Expos), won the Series in '24.