Name of united England and France?

If the medieval/Renaissance kings of England had successfully conquered France and held it for a century, with the two countries united under the same king for multiple generations, what would the combined realm be called?
 
The countries would be considered seperate parts of a greater empire, most likely named after the dynasty it is founded under.
 
Depends-- later on as it becomes progressively more and more liberal we could see it become the United Kingdom of Great Britain and France, but it's contemporary name in history(Atleast for the England and the Western French fiefs it controlled) was something more or less refered to as the "Plantagenet Realm". Later, it became known as the Angevin Empire, coming from the denonym of a resident of Anjou. In the modern era, there were plans to unite France and GB in the event of France loosing in WW2 so as to prevent a French seperate peace-- this was refered to as the Franco-British Union.
 
Likely the colloquial name, after a century or so, will be France, as this is the senior Kingdom (richer and more populated), much in the Way as France and Navarre personal Union was known as France.
 
Likely the colloquial name, after a century or so, will be France, as this is the senior Kingdom (richer and more populated), much in the Way as France and Navarre personal Union was known as France.

Possible indeed, though the balance is much more equal here than France and Navarre. Still, Spain-Portugal was known just as Spain (albeit that was an inheritance situation). I suspect 'France-England' would probably be the common name by analogy to Poland-Lithuania or Brandenburg-Prussia.
 
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