The history of the OTL is one wherein the English and later British won the war (literal and figurative) for supremacy in North America against the French. While the French lost territory through war, they had also failed to properly exploit their North American holdings in comparison to England/Britain. They were underpopulated and underutilized. This was one of the reasons Louisiana was sold to the United States. It was a vast, rich territory which only had value to the French because of France's Caribbean colonies, which it lost to rebellion. And as a result, North America is controlled by two nations which are descended from the United Kingdom and span from sea to shining sea --- other than Mexico.
What if the situation were different? What if it were the French that had been successful on the continent, and created strong, culturally French colonies which sidelined and possibly booted out the English? This does not mean France controls the continent forever, but that any subsequent nation(s) would be derived from the French in the same way that the United States and Canada are descended from and still have cultural, societal, legal, governmental connections to Britain and England.
What if the situation were different? What if it were the French that had been successful on the continent, and created strong, culturally French colonies which sidelined and possibly booted out the English? This does not mean France controls the continent forever, but that any subsequent nation(s) would be derived from the French in the same way that the United States and Canada are descended from and still have cultural, societal, legal, governmental connections to Britain and England.