I can’t comment on your Eurioean ancestry since I know nothing about European royalty. I do know however that
1) Thomas Passmore Carpenter” is a complete Internet myth, debunked many times;
2) the supposed “Amatoya Moytoy” born in 1640 is another Internet myth. There is no record of anyone named “Moytoy” until 1730.
3) “Granny Hopper” was a real person, actual name and parents completely unknown. She had three documented children, Alexander, Katy, and Lewis. Caty married John “Jack” Ward, white son of Bryant Ward. Alexander is believed to have married two sisters named Wilson. Lewis has no known descendants.
4) the Cherokee were matrilineal. There were no ‘family’ names. Paternal descendancy began only with the children of white traders who began living with the Cherokee in the late 1720’s. Clan relationshiips and village connections were all that mattered.