Im not sure if any of this means anything at all, but following the lines and leads on Ansestry.com lead me to the following chart:
According to their site, Alice Nutter was her birth/maiden name. She had two children by her half brother Henry, called Henry and Margaret Bulcock. This is unlikely to be recorded if true.
Here is Henry Jnr.
https://www.ancestry.co.uk/genealogy/records/henry-bulcock-24-135h75g
She later married someone called Whittaker. I know it's not much to go on, but maybe something here will help someone. You can be sure that if the claims of incest are true, they might have used false names on the documents.
At any rate, this whole line of Nutters ends on my tree with, this guy:
Sir John Nutter
B:1380 Pendle Forest, Lancashire, England
D:1443
