Вы всё-таки что-то путаете. Из Вашей ссылки:
Louis Jolliet, along with father Marquette, explored the Meschacébé (Mississippi) in 1673. Jolliet thus proved that the mighty Mississippi opened into the Gulf of Mexico.
Что касается более раннего времени, то французскими были Канада и побережье Мексиканского Залива:
Explorers and settlers from France settled in what is now Canada, the Mississippi Valley and along the Gulf coast in what is now Alabama, Mississippi and Louisiana founding the cities of Quebec, Montreal, Detroit, Michigan, St. Louis, Missouri, Mobile, Alabama, Biloxi, Mississippi, and New Orleans, Louisiana.
The first French attempt at colonization was in 1598 on Sable Island, southeast of present Nova Scotia. This colony went unsupplied and the 12 survivors returned to France in 1605. The next and first successful colony was Acadia founded in 1603 with its town of Port Royal, now Annapolis.
The French were very interested in the fur trade and purchased fur from and formed alliances with Native American tribes such as the Huron and Ottawa. They actively engaged in warfare with the traditional enemies of the Hurons and Ottawas, the Iroquois.
France once held vast possessions in North America including the Mississippi and St. Lawrence river valleys. The colony of Louisiana was founded in 1699...
А вот что в то же время делали англичане:
The English established colonies along the east coast of North America from Newfoundland as far south as Florida. Early colonies included Jamestown, Virginia founded in 1607 (the first successful English colony in North America), the Plymouth Colony founded in 1620, and the Massachusetts Bay Colony. There was also an early unsuccessful Scottish attempt at a colony at Darien, and the colonisation of Nova Scotia is also associated with Scotland.
England also took over the Dutch colony of New Amsterdam, which was renamed New York in 1664. With New Amsterdam the British came to control the former New Sweden which the Dutch had conquered earlier. This became part of Pennsylvania. Britain acquired the French colony of New France and the Spanish colony of Florida in 1763. New France became the Canadas.
Если уж на то пошло, то по Вашей логике обе Америки сначала принадлежали испанцам.
С уважением,
Юрий.