The Spirit of St. Louis, or Ryan NYP (Ryan New York to Paris, registration N-X-211), was flown by Charles Lindbergh on the first successful trans-Atlantic flight in 1927. (Star Trek: Enterprise, opening credits)
The Artisan prop and model shop of Quantum Mechanix, QMx FX Cinema Arts, was asked to illustrate the history of space flight with models for the film. They constructed fourteen models in total. On their website, there was a picture of the Spirit of St Louis model.