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I've seen threads on what if Edmund Tudor, proposed Duke of Somerset had survived and also speculation that if Elizabeth Tudor, daughter of Henry VII and Elizabeth of York, had survived to adulthood and lived to marry, she might have married Charles V in her niece's place or else the elder Mary Tudor might have married Charles V and the elder Elizabeth Tudor Louis XII instead.
I haven't seen anything for if all of Henry and Elizabeth's daughters lived. The four:
Margaret (28 November 1489)
Elizabeth Tudor (2 July 1492)
Mary (18 March 1496)
Katherine (21 January* 1503)
Katherine was born almost two weeks earlier here.
If the elder Elizabeth Tudor doesn't die at age three AND both Elizabeth of York and her daughter Katherine survive Katherine's birth, what matches might be made for these four Tudor princesses?