men descendants Tudor :

As we can see just one son of Henry VII Tudor has men descendants with Tudor surname and they are descendants of Sir Roland Velville, of Beaumaris
Sir Roland Velville, of Beaumaris
one of them is emigrated Tudor: (NOT a John who immigrated to America) Tudor
(NOT a John who immigrated to America) Tudor

but he had a brother Edward Tudor : (NOT a John who immigrated to America) Tudor
who knows, may be it is Finnish Toder tree: https://www.geni.com/people/Стен-Карл-Тудер/6000000000052029164
Tudor is enough rare surname worldwide,
its a big chance we are close to make some historical discovey...