At the end of the movie, where Nathan Rothschild is explaining the branches of the Rothschild business in the style of the David Star, a branch in Gibraltar is mentioned. However at that time there was no Rothschild branch in Gibraltar. One place that is not mentioned on the map is the branch in Paris, which was managed James de Rothschild.
The Baring bank didn't go bankrupt after a wrong rumor created by Rothschild. The bank existed since 1995, also because there was no rumor set by Rothschild.
Nathan Mayer Rothschild didn't spread a panic rumor that Wellington lost the war at Waterloo to raise his money. The story about the rumor it is part of the antisemitic message of this propaganda movie as well as part of the conspiracy theory that remains until today.
While Mayer Amschel Rothschild, who was 62 in 1806, is portrayed by a 56-year-old actor, his son Nathan Mayer Rothschild was 29 at that year while is portrayed by a 41-year-old actor, which would hardly make him his son.
The name of the banker's family Baring is credited as "Bearing".
Nathan Rothschild's gold deals began in 1809, not in 1806 as showed in the movie.