Johnson disproved the claim that Stephen Hopkins' wife was Constance Dudley in "The True Origins of Mayflower Passenger Stephen Hopkins," The American Genealogist, 73 (1998):161-171.
Mayflower Families, Volume 6: Stephen Hopkins published by the General Society of Mayflower Descendants, 2001 acknowledges three children by first wife, Mary, all baptized Hursley, Hampshire, England: Elizabeth, Constance and Giles.