According to Genealogical Dictionary of Maine and New Hampshire (3:267), John Goddard of Oyster River, carpenter, arrived in the Pied Cow, 8 July 1634, with partners James Wall and William Chadbourne--all under contract of 14 March 1633/4 with James Mason.
Continuing, "by 1642, he was sett. at Dover..."
See also, Robert Charles Anderson. The Great Migration, Immigrants to New England, 1634-1635, Volume III, G-H (2003), 84-88 (John Goddard); digital images by subscription, AmericanAncestors.
John Goddard's daughter, Elizabeth Goddard, married John^1 Gilman. (Genealogical Dictionary of Maine and New Hampshire 3:264 calls her his first wife, the mother of nine children).