I'm looking for potential names for an independent New France. Some parameters:
Geography: Roughly OTL Canada plus the northernmost tier of US states from Michigan west.
Demographics: Prominently of French descent with larger (than OTL) well-integrated Metis population. Significant post-independence immigration from Catholic Europe, especially Poland and Ireland. East Asian immigration increasingly important, especially to Pacific coast. Historically and culturally Catholic with varying levels of devotion.
Government: Unitary semi-presidential republic with a romanticized memory of the French monarchy.
Independence: Accidentally achieved in early 19th Century. New France remained uninvolved in and ran her own affairs during the French Revolt. After the monarchy reestablished its position in France, it tried to bring New France back into the fold. NF response was roughly 'Thanks, we're good.', and France was not a strong enough position to force the issue.
Off the Table: Canada, Quebec, Montreal (regional names within the country). New France (we are France's equal, not her daughter). Louisiana (we love our brothers to the south, but we both know they are basically British).