Anne and Henry are my ancestors, too. They are the parents of John Howland, the Mayflower passenger, and his brother, Henry, who was my ancestor. I read somewhere that John returned to England and brought back his younger brother, Henry,some time between 1621 and 1623. Haven't been able to document this yet. Still looking for a passenger list.
As for Anne, I found an entry at either Ancestry or FamilySearch that listed her parents' names as John Aires and Avery (Surname Unknown), both from Essex Co., England.
Louise N.