Betsey Cole was born in 1795 in Vermont. According to her tombstone inscription, she died “Oct. 17, 1860 AE 64 Yrs.” If 1795, the year of her birth recorded in the Day family Bible, is correct, she had not reached her 65th birthday when she died on 17 October 1860. Assuming that these dates are correct, she was born between October 17 and December 31, 1795. According to the 1850 census, she was born in Vermont but on the 1860 census, she was reported to have been born in New York. Her daughters who were living in 1880, indicate that she was born in Vermont. Her parents have not been identified.
Betsey married Lewis Day in 24 January 1822 according to the Family Bible. She and her husband almost certainly lived in the household of her father-in-law, Enos Day, in Milton, Chittenden County, Vermont in 1830. (Lewis Day's name was not found on the 1830 census but Enos Day's household consisted of individuals whose ages and genders suggested that they probably were Lewis, Betsey and their children.)
On February 27, 1823, Lewis purchased from his father, Enos Day, one half of lot No. 54 in Milton, Chittenden County, Vermont.  Although the purchase price was seven hundred dollars, Enos reserved a square room in the southwest corner of the house standing on the lot. It is likely that no money changed hands, but that Enos deeded the property to his son in exchange for care during his old age. Lewis and Betsey may have raised their family in this house until they moved to New York.
Although most Vermont towns kept good vital records, neither Lewis Day and Betsey Cole's marriage record nor the birth records for their children seem to exist. Milton Town and Vital Records for 1776-1811 and 1850-2000 are available through FamilySearch.org. The records are missing for 1812 to 1850. This researcher was in the Milton Town Clerk's office a few years ago and was informed by a clerk that many of the early town records were destroyed in a flood.
Lewis and Betsey moved to Franklin County, New York, about 1835. (Their daughter Sarah was born in New York in 1837.) Lewis Day was listed on the 1840 census of Bangor, Franklin County, New York.
In 1850, Betsey resided with her husband in Brandon Township, Franklin County. The household consisted of Lewis Day, 50, Betsy, 55, Betsy, 26, Augusta, 18, and Sarah, 13; and Lydia, 84, born in Connecticut. All the others were reported to have been born in Vermont although Sarah most likely was born in New York.
Fortunately census records were not the only evidence for their births. The family Bible provided this information. The presumed date of publication of the Bible—1819—and the location where it was printed—Brattleborough, Vermont—suggests that Lewis and Betsey acquired it about the time that they were married. After their deaths, the Bible apparently came into the possession of their daughter, Augusta, who brought it with her when she moved to Minnesota. It eventually came into the hands of her granddaughter, Jeane (Barrett) Siems, who had it in her possession when she lived in Seattle, Washington.
The family record pages included the following information.
Lewis Day and Betsey Cole were married Thursday, January 24th A.D. 1822
Another page was titled:
Westel Willoughby Day was born Wednesday, October the 16th A.D. 1822
Betseyann Day was born Monday, December 15th A.D. 1823
Amanda Octava Day was born Friday, 20th October A. 1826.
Eunice Charlotte Day was born August 4th 1827. Died Octr 21st A.1831
Charlotte Augusta Day was born Thursday, July the 26th A.D. 1832
Sarah Cornelia Day was born Saturday, July 22d A.D. 1837
The births, except for Eunice’s birth and death, were recorded in the same beautiful hand that recorded Lewis and Betsey’s marriage. Eunice’s name and dates were recorded legibly by what may have been a masculine hand. Considering that one record, in the midst of the others, was in a different hand and also noting variations in the size of the handwriting, it appears that the births were recorded as they occurred.
Westel W. Day and Elvira Conger were married Tuesday Sept. the 26th A.D. 1843
Curtis Shattuck and Amanda Day was married Saturday June 3, 1849
Thomas Mulholland and Betseyann Day was married Saturday July 2, 1852
Harvey Barrett & Augusta Day was married Friday June 15, 1855
Chancey M. Shattuck & Sarah C. Day was married Thursday Feb. 5, 1857
The marriages were recorded by one person but probably not by the same person who recorded the births. They may have been recorded as they occurred because the first three records took more than three quarters of the page and the last two were crowded in the small space that was left.
On a blank page without a printed heading, the following was written in a different hand:
Lewis and Betsey’s names and birth years probably were written at one time and their deaths—with a different pen—were recorded later. Whoever recorded their deaths probably was not the same person who recorded their marriage and their children’s births but may have been the same person who recorded the children’s marriages. Possibly these later items - their children's marriages and their deaths - were recorded by one of the daughters, most likely Augusta who took the Bible with her when she moved to Minnesota.
The names of Betsy Cole's parents have not been discovered. If Lewis did not go far afield to find a bride, one would suspect that her father was one of the Cole's who lived in Chittenden County, Vermont, in 1820, but this may not have been the case. More research is needed.
Ancestry.com DNA matches to Lorraine Keith suggest that Betsey Cole was somehow connected to the Tambling/Tamblin family. Two individuals who claim Phoebe Sanford and Abijah Tambling as their ancestors, according to Ancestry DNA, are 4th to 6th cousins of Lorraine Hall Keith. Phebe was born 1 July 1742, died 5 April 1822 and was buried in the Milton Village Cemetery, Milton, Chittenden County, Vermont. 
It is also possible that Betsey's mother was Lydia, notwithstanding the ditto mark for her surname. Lydia, 84 years old in 1850, born in Connecticut, was enumerated with Lewis and Betsey Day on the 1850 census of Brandon Twp., Franklin Co., NY. Could she have been the daughter of Phebe Sanford Tambling? It is intriguing that Phebe Tambling was buried in Milton where Lewis and Betsey lived during their early married life.
It is slightly possible that Lydia was Lewis's stepmother but it does not seem likely that his father remarried. While she may have been an aunt, she probably was not Lewis's aunt because neither of his parents had a sister known as Lydia. It is also possible that she was not related to the family.
Enos Day's 1830 household included a female, age 80-89, who was not identified. Lewis Day's 1840 household included a female, age 70 thru 79 who could have been Lydia.
Several Ancestry.com family trees claimed, with no sources other than other family trees, that Betsey Cole, was the daughter of Nathan Cole and Judith Colburn of Galway, Saratoga County, New York. This is incorrect. She was not their daughter. Nathan Cole and Judith Colburn's daughter Betsy married Abraham Phillips as proven by the following:
HEIRS OF NATHAN COLE as found in a deed made in 1833, Saratoga County, New York.
Abstract of page 329: This indenture made this sixteenth day of October in the year of our Lord one thousand eight hundred and thirty-three Between Judith Cole of Galway in the County of Saratoga, State of New York, Luther Cole and Mary his wife, Joseph Cole and Rhoda his wife, Nathan Cole and Margaret his wife, William Cole and Emeline his wife, Amos H. French and Sabra his wife, Abraham Phillips and Elizabeth his wife, Russell Wescott and Roxsenith his wife and Elijah Hill and Judith his wife, heirs of Nathan Cole late of Galway aforesaid deceased of the first part and John Wilkinson of Galway aforesaid of the second part... 
Neither was Betsey (Cole) Day the daughter of Matthew Cole of Chittenden County, Vermont. Dr. Matthew Cole, had three daughters according to his probate record. They were Harriet, Fannie and Betsy. Harriet Cole was married to Benjamin Waterman Dewey on 6 April 1823 in Shoreham, Addison County, Vermont. Elizabeth was married to Ansel Chipman on the 18 March 1819 in Coxsackie, New York, but Ansel was of Shoreham, Vermont, and the marriage was also recorded in Vermont. A combination of other documents proved this relationship but one of them was the proximity, only two names apart, of Ansel Chipman and Benjamin W. Dewey on the 1830 census of Moriah, Essex County, New York. Further substantiation was the presence of Fanny Cole, 56, in the household of B. W. and Harriet Dewey in Moriah, Essex Co., NY, in 1850.
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