GRACE, daughter of Walter Palmer and (Unknown), was born 9 May 1612 in England  or possibly about 1613 (aged 53 in 1667 [TAG 24:43, citing WMJ 764]).
Immigration Jun 1629 in the "Four Sisters" from Gravesend, Kent, England to Salem, Essex County, Massachusetts
Grace "became a member of the First church of Charleston, Middlesex County, Massachusetts, 1 June 1632, at the same time her father and step-mother united with it.
She married at Charlestown, Massachusetts, on 23 April 1634, THOMAS MINOR (this place and date given in several secondary sources, but primary source not found [Savage 3:216; Wyman 675]). 
Grace and Thomas Minor went from Charlestown to Hingham, Massachusetts, where four of their children were born. From there, they moved in 1645 to New London, Connecticut, and finally to Stonington, Connecticut where they settled. They had at least ten children between 1636 and 1655. [Miner Descent lists eleven]: john, Clement, Thomas, Ephraim, Joseph, [Judah], Manassah, Ann, Maria, Samuel and Hannah.
Grace was still alive in 22 Feb 1684/5  "Grace died two weeks before her husband on 12 Oct 1690 in Stonington, CT." 
Burial: Wequetequock Cemetery, Stonington, New London County, CT 
↑ 2.02.12.2The Great Migration Begins: Immigrants to New England 1620-1633, Volumes I-III
↑ 3.03.13.23.33.4Groups of Palmer families from Walter Palmer of Charlestown and Rehoboth, Mass., Stonington, Conn., Leavitt and Palmer (1901), pages 19-20
The Great Migration Begins: Immigrants to New England 1620-1633, Volumes I-III. (Online database: AmericanAncestors.org, New England Historic Genealogical Society, 2010), (Originally Published as: New England Historic Genealogical Society. Robert Charles Anderson, The Great Migration Begins: Immigrants to New England 1620-1633, Volumes I-III, 3 vols., 1995). Grace Palmer page 1264
Source: S211 Buys, Doris Palmer, Walter Palmer of Charlestown and Rehoboth, Massachusetts and Stonington, Connecticut: A 400-Year (1585-1985) Family History, published for the author by Historical Publications of Orem, Utah, 1986, page 1, 40, 44, 47, 88, 91: Cites "research manuscripts of Dr. Byron Smith Palmer".
My Heritage ID Number: MH:I1087, MH:IF4491, MH:IF2804
Thank you to Robert Stafford for creating WikiTree profile Palmer-4819 through the import of Full.ged on Mar 3, 2013.
Click to the Changes page for the details of edits by Robert and others.
Below is a verbatim excerpt from Robert Charles Anderson FASG [Fellow of the American Society of Genealogists*], The Great Migration Begins: Immigrants to New England 1622-1633 (published 1995; pages 1381):
“GRACE [PALMER, dau. of Walter-1 PALMER and his unknown first wife], b. about 1613 (aged 53 in 1667 [TAG (The American Genealogist): 24-43, citing WMJ (Medical Journals of John Winthrop Jr., 1657-1669, manuscript, Massachusetts Historical Society, Boston, Massachusetts) 764]); m. Charlestown [Massachusetts] 23 April 1634 THOMAS MINOR (this place and date given in several secondary sources, but primary source not found [Savage 3:216; Wyman 675]).”
Palmer-4819 and Palmer-3559 appear to represent the same person because: Reviewing my off-line records, I determined that Palmer-4819 is a match for Palmer-3559, which I missed when I imported my family tree.
Grace came with her father Walter and family with the Higginson Fleet of 6 six ships, from Gravesend, England on 5 Apr 1629 bound for the Massachusetts Bay/Charles River. He is on the passenger list for the ship Four Sisters arriving in Salem Harbor June 1629.