Elizabeth Elmer was baptized at Hartford, 15 July 1649, having been born sometime beforehand. She was the first daughter of Edward and Mary Elmer. She married Joseph Edwards and died soon afterwards.
Although many list her birth as 15 July 1649, sources indicate that this was her baptismal date, consequently, her birth date was earlier. The baptismal place was listed as Hartford, Connecticut Colony. 
Original text: ELIZABETH, bp. Hartford 15 July 1649 [HaVR 580]; m. Northampton 2 January 1672 Joseph Edwards [Pynchon VR 142]. (She was dead by 17 November 1674 when Edwards m. (2) Northampton Hannah Atkisson [Pynchon VR 143].)
Find A Grave, database and images (https://www.findagrave.com : accessed 18 July 2018), memorial page for Elizabeth Elmer Edwards (15 Jul 1649–Jun 1673), Find A Grave: Memorial #55391322; Maintained by Linda Mac (contributor 47062703) Unknown.
Page 3. Original text: EDWARD ELMER, b. -----, d. 1676 (see Note 1). Children--- John, b. 1646, m. Rosamund Genivere, d. Dec. 21, 1711; Samuel, b. 1649, d. April 1691; Edward, b. 1654, d. 1725; Joseph, b. 1656, d. 1657; Mary, b. 1658, m. J. Diggens, d. 1712; Elizabeth, b. 1659, m. Jos. Edwards, d. 1673; Sarah, b. 1664, m. Thomas Long.
Ancestry.com. Massachusetts, Town and Vital Records, 1620-1988 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2011. Original data: Town and City Clerks of Massachusetts. Massachusetts Vital and Town Records. Provo, UT: Holbrook Research Institute (Jay and Delene Holbrook).
Original text: Footnotes: *Joseph Edwards and Elisabeth Elmer were married the 2nd of January (1670 or 1672) *Impossible to tell in rewritten version which is the correct year - in original recording book, the part of the page where this record appears has partially crumbled away
Ancestry.com, Connecticut Town Birth Records, pre-1870 (Barbour Collection) [database on-line]. Provo, UT, USA: Ancestry.com Operations Inc, 2006. Original data: White, Lorraine Cook, ed. The Barbour Collection of Connecticut Town Vital Records. Vol. 1-55. Baltimore, MD, USA: Genealogical Publishing Co., 1994-2002.
Original text: Elizabeth, d. Edward, bp. July 15, 1649; Vol. D, Page 6; Vol. FFS, Page 3.