Annette Kellermann's car has an obvious radiator leak when she arrives at the airport for the start of the air race.
During the scenes where Annette Kellerman is seen swimming in the River Thames (which historically occurred in 1905), several modern-day double-decker buses (as in contemporaneous to the film's 1952 shooting dates) can be seen in the background.
Australian swimmer Annette is in London for a publicity stunt of swimming from Putney Bridge to Greenwich but no reporters turn up for the start.. By the time she reaches Parliament there are newspaper headlines and placards. An impossibility.
Annette Kellerman (Esther Williams) tells the judge that her swimsuit "will cover the entire body except the *forearms* and the head." However, the swimsuit she exhibits in court and which she wears in the following scenes does not cover *any part of her arms*.
No one noticed that Esther Williams has an American way of speaking? Not a hint of an Australian accent, although Walter Pidgeon attempted one.