Lady Jane was apparently one of several daughters of Sir Gilbert Pickering and Lady Elizabeth Montagu, the daughter of Sir Sydney Montagu.

Jane and her husband, George Stileman, married in 1677, were arrested for involvement in the Duke of Monmouth Rebellion in England in 1685.Jane and George were of a Protestant/Puritan heritage and the rebellion was trying to overthrow the Roman Catholic James II. While they were married, George used her last name, because she was of the nobility.
Charged with treason, they were allowed to emigrate to the colonies because she was a noblewoman. She died at sea due to complications from premature childbirth, but her older son Dr. George Stillman (he used the name of his commoner father and changed the spelling) came to America on another ship and became the head of a large family of descendants in Westerly, Rhode Island and leaders in the Seventh Day Baptist Church.

Biographies of Sir Gilbert Picketing do not tend to mention Jane, but she appears to be a descendant of the English King Henry III and therefore William the Conqueror, back to Rollo of Normandy (c.860 - c.932)who was the founder and first ruler of the Viking principality in what became known as Normandy. He is also in some sources known as Rober tof Normandy.