I am unfamiliar with New Orleans' history and am confused by the article: "The Second Municipality, which the Americans controlled..." and "The First Municipali

I am unfamiliar with New Orleans' history and am confused by the article: "The Second Municipality, which the Americans controlled..." and "The First Municipality included all of the French Quarter..." Then I read "In the First Municipality, English was the language of commerce and government; in the other two, French dominated." Did the Second Municipality, American-controlled, have the French language dominate? Or is one of the preceding sets of statements off a bit?