Henry Smith resided in New Buckenham, Norfolk, England before he sailed to Massachusetts in 1637, but his parents are unknown. Accompanied by his wife Elizabeth and two sons, Henry sailed on either John & Dorothy, or the Rose. Henry settled first in Dedham, Massachusetts,  and the burning of his house there was an event noted in the town records. In 1651 he removed to Medfield, Massachusetts,  where he was active in town affairs and was a selectman thirteen years.  He died in 1683, having survived his wife, who died in 1670, about thirteen years. Their sons were: John, Seth, Daniel, Samuel and Joseph.
The children of Henry and Elizabeth Smith were as follows: 
John, b. in England, m. Lydia ____, had children - John, Lydia, Henry. Alive in 1692
Seth, b. in England, d. 1982. m. Mary Thurston in 1660, had six children
Daniel, b. 1639 in Dedham,
Samuel, b. 1641 in Dedham, m. Elizabeth Turner in 1669, m. (2) Sarah, had ten children
Joseph, b. 1643, d. 1661
Marriage: 31 Jan 1629/1630 St Peters, Thanet, Kent, England (uncertain)
Descendant of yDNA group NE24 Henry Smith-16853 (c1607 New Buckenham, Norfolk, ENG-May 1687 Medfield, Massachusetts) m Elizabeth UNKNOWN-86135. See SmithConnections Northeastern DNA Project.
↑ 1.01.11.21.3The Great Migration Directory, by Robert Charles Anderson, F.A.S.G., (2015), page 309
↑ 2.02.1History of the town of Medfield, Massachusetts. 1650. 1886; with genealogies of families that held real estate or made any considerable stay in the town during the first two centuries, Editor, William S. Tilden, pp 479-481
Anderson, Robert Charles, F.A.S.G., The Great Migration Directory, (Boston, Massachusetts, NEHGS, 2015), "Concise entries for all immigrant families for the entirety of the Great Migration, from 1620 to 1640." Includes all entries from The Great Migration Series, the Study Project, The Pilgrim Migration 1620-1633 and the The Winthrop Fleet 1629-1630. Page 309 [5th entry from top]
Colket, Jr., Meredith B. 1912-. Founders of Early American Families: Emigrants From Europe, 1607-1657, Revised Edition. Cleveland: General Court of the Order of Founders and Patriots of America : distributed by Founders Project, 1985. Text located at the New England Historical and Genealogical Society library. Page 287. Source Publication Code: 263
Primary Immigrant: Smith, Henry
Annotation: Part 1, pp. 1-43, is a study of emigration to New England in colonial times; part 2, pp. 45-207, lists passengers and the ships they arrived on (3,600 passengers on 213 ships). From the Custom House records of English ports. Much of the information is contained in nos. 7906 and 7907, Savage; nos. 1672 and 1674, Drake; and no. 3283, Hotten. Boston, MA, 1637; Page Number: 187. Passenger and Immigration Lists Index, 1500s-1900s. Farmington Hills, MI, USA: Gale Research, 2012.
Suffolk County, MA Index to Probate Records, 1636-1893, Suffolk Probate Iindex V.3 page 173
"England Marriages, 1538–1973 ," database, FamilySearch (https://familysearch.org/pal:/MM9.1.1/NJQS-1HS : 10 December 2014), Henry Smith and Elizabeth Smith, 31 Jan 1630; citing St. Peter, Kent, England, reference 208, index based upon data collected by the Genealogical Society of Utah, Salt Lake City; FHL microfilm 357,705.
"Massachusetts, Town Clerk, Vital and Town Records, 1626-2001," database with images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/FHDX-C54 : 5 November 2017), Henry Smith in entry for Elizabeth Smith, 12 Jun 1670; citing Death, Medfield, Norfolk, Massachusetts, United States, , town clerk offices, Massachusetts; FHL microfilm 721,179.
I worked on the profiles for both Frances and her son Henry Smith, and the profile Smith-16853 should NOT be linked as a son of Frances Smith/Sandford/Pynchon. The sources and evidence for Henry and Frances are on their profiles, and are extensive and not confusing, but this Henry Smith has been conflated with the actual son of Frances.
Frances son married Anne, the daughter of her third husband, William Pynchon, when he was still very young - no way he first married in England and had eight kids.
Henry and Anne (Pynchon) had thirteen children, and they went back to England with her father William and his mother Frances, where Henry died before Anne.
He did NOT died in Massachusetts.
The profile Smith-16853 should be unlinked from that of Frances Smith/Sandford/Pynchon -- she WAS NOT his mother.
There are two sons Henry attached here. Smith-16853 m. Elizabeth d, 1687. and Smith-11646 d. 1682 m. Anne Pynchon. It appears one doesn't belong at all. I've marked as unmerged match for easy comparison. but they aren't the same person at all.
Smith-16853 and Smith-79833 appear to represent the same person because: I think these are two profiles for the same Henry Smith. Please merge Smith-16853 into Smith-79833. The FindAGrave record #53624806 says his death as around Jan 1687. Thank you!