Anachronisms: Alfred E. Smith ran for President in 1928, yet in one scene someone buys a newspaper with this news with a Jefferson nickel. This design wasn't minted until 1938.
Factual errors: When Franklin Delano Roosevelt addressed the 1924 convention, he did not walk to the podium on crutches. His son James supported him on one side, while he supported himself with a cane on the other. This gave more of an appearance of walking to an observer.
Anachronisms: In a scene inside a car on the way back from one of Eleanor's speeches in 1924, the background seen through the back of the car window is a Manhattan street scene from the late-1940s.