Jean Harlow, the star of the movie, was indeed "The Girl from Missouri", having been born in Kansas City, Missouri on March 3, 1911.
Transatlantic travel was still done largely by steamship at the time of this film. The venerable Cunard company, based in England, still sails in 2023.
The delegation likely was headed to London to discuss the European situation. Even in 1934, there was talk of conflict in the not-too-distant future. Pacifism and nationalism were the topics of the day.