Tudorian Anglo-French Alliance

What if the alliance between King Henry VIII and King Francis I became lasting, and truly did result in the marriage of Princess Mary to Dauphin Francis?

Say, Henry get's an Edward6-esque boy who lives, but not for long really. Dauphin Francis lives a bit longer to become Queen, and dies weeks after his coronation and actual marriage to Princess Mary. They pull an Arthur-Catherine-Henry, and she marries Prince Henri. The Edward6-esque son dies after reigning four years after Henry VIII's death, and Mary becomes Queen of England. Her son would inherit the thrones of England and France.
 
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