Please don't think that I'm trying to trash your information. It's just that when there's been consensus that a woman's maiden name is unknown, there needs to be more than a minimum of proof to change her from "Abigail Unknown" to Abigail with a definite last name. Today I was reminded that I had said “Collaboration on our shared ancestors encourages us to share information and to hold each other to high standards” and I do believe that's true -- when we collaborate on an ancestor's biography, we all need to accept the same information, and gaining that acceptance often requires a high standard for information quality.
You say that the will of "Richard Hunt, citizen and fishmonger of London 1686" identifies "Abigail Stockton" as his daughter. That's a promising clue, but is there anything in the will that indicates that his daughter Abigail Stockton was living in America? I can't claim much experience with English wills that identified heirs in America, but the ones that I've seen did explicitly identify the heir as living in America (the one I remember best described the heir as living in "Watertown in New England").
You cite "American Marriage Records before 1699" as showing that Richard Stockton, son of Richard Stockton and Abigail Bloomfield, married Susanna Witham. I think this is another Ancestry database. If so, I think it's one that contains information gleaned from a variety of sources, ranging from original marriage records (occasionally) to (far more often) some unidentified person's Family Group Sheet or pedigree chart. Can you tell where this particular information came from?
And what sources and rationales do the Genealogy of the Stokes family and the History of the Shinn family in England & America cite as their basis for giving Abigail the last name of Hunt?