Wikitree seems to dispute most of the relationships Geni is showing.
Geni currently has:
Anthony Hilliard, of Hingham
Gender: Male
Birth: 1585
Sussex, England (United Kingdom)
Death: 1639 (53-54) Hingham, Plymouth, Massachusetts, Colonial America
Husband of Elizabeth Hilliard
Father of
William ‘the carpenter’ Hilliard, Sr.
See
https://www.wikitree.com/wiki/Hilliard-789
https://www.wikitree.com/wiki/Hilliard-750
William ‘the carpenter’ Hilliard, Sr. Is referenced in The Great Migration Begins so will start there.
Anderson, Robert Charles. The Great Migration, Immigrants to New England, 1634-1635, Vol. 3, G-H (Boston: New England Historic Genealogical Society, 1999), images of pp. 329-30 by subscription AmericanAncestors.org. https://www.americanancestors.org/databases/great-migration-immigra...