I believe that you're right.Hannah's father was Jeffrey Wainwright of Bermuda.This is from the West New Jersey History Project.
Jeffrey Wainwright (1642-1689) became a Quaker and emigrated from Bermuda to Woodbury Creek in 1680. Two of David's known brothers, Samuel Sr (1663- 1729) and Jeffrey moved to Philadelphia about 1700. Another brother was Jonathan. Their sister, Hannah Wainwright (d 1718), married Upton miller George Ward in 1697.