From Daniel Cushing's Record, "1638. Mr. Henry Smith and his wife and 3 sons and two daughters, and three men servants, and 2 maid servants and Thomas Mayer came from Hay**en Hall in Norfolk and settled in New Hingham." See "Daniel Cushing's Record," The New England Historical and Genealogical Register 15 (1861):25-27 at 27; digital images, Hathi Trust.
The names of Henry Smith's immigrating children, devised from various wills, including the will of Nicholas Stanton--"Judith Smith the late wife of Henry Smith, living in New England ... [and] her five children, Judith, John, Elizabeth, Henry and Daniel." See Henry F. Waters, Genealogical gleanings in England, 2 vols., paginated consecutively (Boston, New England Historic Genealogical Society, 1901), 2:1120-21 (Nicholas Stanton), 1121n, 1122n; digital images, Hathi Trust. Transcribed to WikiTree free space page, "Stanton-Cooper-Smith Association."