While doing some research on John Parker -- there were several, on both sides of the Atlantic in the mid-1600's -- I found the will of a John Parker, Haberdasher of London who died in 1639 as well as the will of his brother Joseph, who died in 1644. Neither crossed the Atlantic, nor, to my knowledge, did they have children who did. But Joseph's will refers to his brother James, who was in New England when the will was written. James obviously crossed the Atlantic, but I don't see a matching James already in WikiTree. If there are New England/Massachusetts records of a James aqbout that time who needs an origin in England, this might be it!