1.  Clarence Almon Torry.  1985.  New England Marriages Prior to 1700.  New England Historic Genealogical Society, Boston, MA (reprinted 1997, Genealogical Publ. Co., Baltimore, MD):

The locations are known residences of the husband, ending with the husband's place of death.  An entry in Torrey does not imply a marriage in New England; it only demonstrates the presence of a married couple there before 1700.  Torrey is a compilation of published sources, not primary records, so he should be considered a secondary source.
p. 206	DAVIS, James (-1679) & Cicely THAYER (-1673); Thornbury, Eng, 11 Jun 1618; Gloucester/Haverhill

2.  Clifford L. Short.  1998.  "The Gloucestershire T(h)ayer Ancestry:  The Ancestry of Cicely Tayer, Wife of James¹ Davis of Haverhill, Massachusetts..."  The American Genealogist 73(2):81-90; 209-219 (online at AmericanAncestors.org):

p. 210

2 JOHNA TAYER (JohnB?)  was probably baptized at Thornbury, Gloucestershire, on 6 May 1561.  He died on 1 January 1601 [i.e., 1600/1] and was buried at Thornbury on 4 January... He married at Thornbury on 3 August 1589, JOAN LAWRENCE... Children of JohnA and Joan (Lawrence) Tayer... vi.  CICELY1 TAYER, bp. Thornbury, 1 May 1600... d. Haverhill, Mass., 28 May 1673.18  She m. Gloucester, 11 June 1618 (recorded in the Thornbury register), JAMES1 DAVIS, son of JohnA DAVIS of Acton Turville, Gloucs., and emigrated to New England before 1640.19 18Vital Records of Haverhill, Massachusetts, to the End of the Year 1849, 2 vols. (Topsfield, Mass., 1910-11), 2:384. 19See the forthcoming article by Douglas Richardson.

3.  Robert Charles Anderson; George F. Sanborn, Jr.; & Melinde Lutz Sanborn.  2001.  The Great Migration:  Immigrants to New England, 1634-1635.  Vol. II, C-Fs.  New England Historic Genealogical Society, Boston.  739 pp. (boldface added)

p. 310

THOMAS DAVIS ORIGIN: Marlborough, Wiltshire MIGRATION:  1635 on the James of Southampton FIRST RESIDENCE:  Newbury REMOVES:  Haverhill by 1646...

p. 315

ASSOCIATIONS:  In a court dispute in March 1657 between Thomas Davis and Benjamin Swett...  Among those those testifying in Thomas Davis's favor were Judith, wife of Samuel Guild; the said Samuel Guild; Joanna, wife of George Corliss; James Davis Sr. and wife; Ephraim Davis; and George Corliss.  Judith Guild and Ephraim Davis were children of James Davis Sr. and his wife, Cicely Tayer, while Joanna Corliss was a daughter of Thomas Davis... It would seem from all this testimony that there could have been some connection between JAMES DAVIS {1639, Hampton} and Thomas Davis, who were contemporaries.  It has been demonstrated that James Davis was married at Gloucester, England, on 11 June 1618, and that he was the son of John Davis of Acton Turville, Gloucestershire [TAG 73:210]...

TAG = The American Genealogist.