WI: the Valois absorb the Lancastrian Claim

I know that during the War of the Roses that the Lancasters became extinct and also that the present Lancastrian claimants are also Bourbons and Prince du Sang of France, how do we make the Valois have a claim to the Lancastrian inheritance and what dynastic marriage is required for that to happen?
 
One of Henry IV's sisters or daughters marry into France?

This should work, although wether the Valois would press home their claim is less certain IMO, although if the Lancastrians are married into the senior male line of Valois then I can see the French King's using this descent to turn the tables on the Anglo-French dynamic :p
 
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