Mary Paine (Snow) - Mary Paine, mother of Elizabeth Bellamy (Paine)

I read with interest the story of Samuel "Black Sam" Bellamy in his profile. But I looked at his parents Thomas Paine and Mary Snow and see that they can't possibly match up with the parents of Elizabeth Bellamy Paine (Sam's mother) because Mary Snow her (Elizabeth's) mother was born and married in Eastham/Plymouth, Massachusetts (b:1630,m:. Elizabeth died in England in1689. It is my deduction that Elizabeth is from another family of Paines. Open to opinions.