I descend from Alexander Stewart and Mary Bailey, both of whom were immigrants from the British Isles. Alexander arrived alone in Philadelphia in 1697 as a 13 year old boy, a product of child-trafficking from Scotland in the Pennsylvania Colony in those days, particularly in Chester County. I do not believe he was originally born Quaker but became convinced when he married Mary Bailey whose family was Quaker in Wiltshire, England. Mary Bailey's parents were Joel Bailey and Ann Short. Ann Short came over on the sailing vessel, "Welcome" with William Penn in 1682. Sadly, her mother, Miriam Short died en route from a breakout of smallpox.
A have a plethora of aDNA matches with descendants of 1680s Quaker families who settled in Chester County, PA as well as New Castle County, DE, but I am not at all clear about how each fits into my family tree. These family surnames include: Harlan, Clayton, Beeson, Grubb, Hadley, Lindley, Buffington, Heald, Cloud, Pyle, Mendenhall, Thornburgh, and others. Perhaps others are finding similar matches and I would love to be able to correspond with you about these.