The categories are somewhat tangled as people created categories and put them in what they thought were proper places before there was much organization and real thought about historical place names. However, a group has been working hard on creating a Francophone portal and in connection with Project Quebecois, on a structure for Nouvelle France place names.
Category: Nouvelle-France has the following parent categories : Categories: Histoire de France | Spanish History | Canadian History | Amérique du Nord | US Southern Colonies | France | Québec History .
It also has the following subcategories: Acadie | Canada, Nouvelle-France | La Louisiane, Nouvelle-France | Île Royale .
There is a parallel set of English categories. Category: New France has parents French History | Spanish History | Canadian History | French Colonies | France (en) | US Southern Colonies . Its subcategories include only one place name - Île Royale
There is a cross reference from Category: Nouvelle-France to Category: New France but no indication that there are more place names on the French side.
It would appear three things break the chain to higher region categories especially on the English side.
First, while there is a parent category Amérique du Nord on the French side, there is no parent category North America on the English side.
Second, there is no parallel English category for La Louisiane, Nouvelle-France and no reference from the category Category: New France to see category Category: Nouvelle-France for further subdivisions where La Louisiane, Nouvelle-France can be found.
Third, Category: Louisiana First Families does not have either Category: La Louisiane, Nouvelle-France or an English equivalent as a parent.
If Category: Louisiana First Families had Category: La Louisiane, Nouvelle-France as a parent, it could be found easily through the French side.
And if there were a new Category: Louisiana, New France which were a parent category for Category: Louisiana First Families, and a subcategory of Category: New France and if Category: New France were made a subcategory of Category: North America then the chain would be complete on both the French and English side.
If this would fix the situation, I can fix it for you. This would be in keeping with practice elsewhere in regional categories where there are multiple language paths down to the the lowest level where locations are in the native language of the time, which during the New France era would be French.