Here are some records from ME Historical & Geneal. Recorder, not a primary record, but another reference.The marriage you want is mentioned in these "Random Notes" and is given in "Hinckley Heritage & History" [HHH] by E. Charles HINCKLEY.
Some of the records are a bit hard to follow as given.The first family is that of Deacon Samuel HINCKLEY (24 S 1684, Barnstable, MA - 1752) who m1. 1703, Mary FREEMAN.(13 Mar. 1687 - 10 Dec. 1717).I'll add parts in brackets from HHH.
Random Notes of Early Settlers of Brunswick & Topsham:
Deacon Samuel HINKLEY'S ancestors were originally from England, came to Truro, Cape Cod, and then to Saco Falls, where they resided some years.Dea. Samuel, son of Gov. Thomas HINCKLEY, came to Brunswick about 1735.He brought with him six sons and four daus.Two daus. m. THOMPSON, one m. TIBBETTS, and the fourth m. Saml. SCAMMON of Biddeford.
[Reliance HINCKLEY (21 N 1714, Harwich - 22 May 1751) m. 13 Apr. 1732, Capt. James THOMPSON.Mary, bpt. 12 Apr. 1724, Truro, m. Joseph THOMPSON.Experience (16 Jan. 1720 - 15 S 1798) m. ca. 1737, Timothy TIBBETTS.Mehitable (25 D 1718 - 6 Je. 1811) m. 27 Aug. 1736, Samuel SCAMMON (1713 - 1758).]
Sons of Saml. were Seth, Shubael, Samuel, Edward [sic, Edmund/Edmond], Aaron, & Isaac.Seth, the eldest, was killed by the Indians near Ham's Garrison, 2 May 1747.He had gone from Thompson's Garrison to get a strap for a cow bell and was waylaid and shot on his return.Edmund & Isaac, and Gideon, son of Seth, together with Dea. Saml. WHITNEY & his son Saml., Hezekiah PURINGTON, & Saml. LOMBARD were surprised by Indians as they were haying north of the turnpike.Isaac HINKLEY was shot trying to escape, and his remains were not found until the next summer.The others were carried prisoners to Canada, from whence, after incredible hardships, they were ransomed by Government and returned to their families.Gideon was 19 when taken...
Frequent Indian attacks occurred in outlying settlements.About 23 Je. 1751, they assaulted New Meadows and took captive three Hinkleys, two Whitneys, Purrington, and Lombard...
Edmund HINCKLEY [b. 20 N 1712, & Sarah SMITH] had nine children [sic, ten, eldest, Edmund b. 9 S 1745, dy]: Sarah, Elnathan, Isaac, Thankful, Precilla, Samuel, Lemuel, and twins Edmund & Aaron.
Shubael had sons James (& twins), Shubael and Thomas; moved to Hallowell [HHH says Shubael (15 Mar. 1708 - 1 F 1798) had four wives and twenty ch.]
Aaron [(13 S 1715 - 1793) m. 13 F 1746, Mary LARRABEE] had twelve ch. He d. 1793, aged 76 [?], at New Meadows. His wf. Mary LARRABEE, b. Boston, MA, d. ca. 1807, aged 81. Children:
Isabelle m. Saml. MELCHER & li. New Meadows.
Benj. m. [Esther] SARGEANT & moved to Monmouth.
Reliance d. aged two yrs.
Lois m. John DUNNING [or DEMING?], li. Brunswick. [She d. 21 Oct. 1811].
Nathl. m. [Mary] REED & moved to Hallowell & thence to Ohio.
Theophilus m. _ THOMPSON & moved to Topsham.
Stephen m. _ THOMAS, li. New Meadows / Brunswick.
Aaron, d. inf.
Mary m. Capt. Saml. GROSS, li. Brunswick.
Jeremiah moved to Frankford / Frankfort, where he married.
Jeremiah's twin Rachel dy.
Letter from James CURTIS to John McKEAN:One of Mr. SMITH's daus. [Agnes] married T. COTON.Her first husband was Isaac HINKLEY, who was shot by the Indians in Mr. WESTERN's field.Isaac's only child [Mehitable (28 Jan. 1751 - 1842) m. Thomas] THOMPSON.Isaac HINKLEY who died in Lisbon last winter told me he was born about three months after his father Edmund was taken captive [23 Je. 1751] and that he would be eighty in September.
Records of the First Ch. of Christ, Biddeford:First pastor, Samuel WILLARD...signed by members Samuel HINCKLEY...Topsham Marriages by John MERRILL, Esq.
THOMPSON, Reliance, John MALLOT, 12 Jan. 1779
Humphrey, Mary STOUT, 8 Oct. 1798
Olive, Jeremiah COFFIN of Freeport, 25 Feb. 1801
Thankful, Wm. WISE, 3 Dec. 1801.
HINKLEY, Nathaniel of Brunswick, Mary REED, 5 Je. 1781
Elnathan of Brunswick, Mary WILSON, 25 Mar. 1782
Gideon, Sarah COLE, 8 Aug. 1782
Seth, Experiance TEBBETTS, 10 July 1783
Jean, Isaac TEBBETTS, 14 July 1784
Russell, Reliance TEBBETS, 25 May 1790
Thomas, Mary BOURK, 21 S 1795.
Married by Reverend John W. ELLINGWOOD of Bath, ME:
HINKLEY, Ann W., Alexander ROBINSON, 4 Apr. 1883 (sic, 1833)
John W. of Georgetown, Sarah S. COLLER, 15 N 1840
Elizabeth, of Richmond, Saml. C. WINSLOW, 27 N 1852.
THOMPSON, Olivia S., Jas. L. DUSTIN, 19 S 1847.
Records of First Congregational Ch., Scarborough, organized 26 Je. 1728, pastor Wm. TOMPSON...
24 Feb. 1734, Sarah, wf/o Samuel HINKLEY, dismissed from Wells.
John, s/o Samuel & Sarah HINKLEY, bpt. 25 Oct. 1733.
Intentions of Marriage, Georgetown, ME:
HINKLY, Shubel, Elizabeth WORSTER, 8 Apr. 1753
HINKLEY, John, Hanah OLOVER, 16 N 1754
HINKLEY, Mehitable, Jeremiah SPENEY, 8 N 1757
HINKLEY, Shubel, Mary SOLON, Brunswick, 28 Aug. 1761
TOMPSON, Samuel, Brunswick, Abiel PURINGTON, 1 Dec. 1757.
Where did you find the record of the first child's birth?Perhaps somebody got confused by the change of calendars, and it should be Mar. 1733/4.At least the record of birth for Reliance is "semi-primary.":-)
Mayflower Descendant, 1902, 4:208, Harwich, MA, VR:Relianc Hinckely daughter to Samuell and mary hinckely was born November 21 day 1714. (Seven of their ch. are listed.)