The way I understand this is that I would be ineligible. My mother was born in England, no problem there. My father, Australian, has ancestors that were born in England, Scotland and Ireland. i.e. within the 4 generations. The 5th or 6th generations on one line were most likely born in France but crossed the Channel and never left.
I also have an NPE within the 4 generations of my mother's side and who knows where he came from.