His marriage intentions to Edah were published in 1808; marriage date not given. His first wife was Abigail ___. The text below also lists the births of his children by both his wives. However these records are in several volumes, some are shown below and have different portions of Fitchburg records. You can find these two online.
Other sources indicate that this David died in 1826 - see below and that his son David (3rd) b. 1791 died in 1850.
FROM: The Old Records of the Town of Fitchburg, Massachusetts: Vital statistics (from ms. v. 2, 4, and 5, bringing record down to 1843) and miscellaneous records. 1900
(p. 80) Mr. David Baldwin made application to be published to Miss Edah Putnam ,both of Fitchburg, on y e 7 May AD 1808. Oliver Fox Town Clerk. (p. 80)
FROM: The Old Records of the Town of Fitchburg, Massachusetts: Feb. 9, 1789-Apr. 18, 1796. Town meetings, selectmen's and miscellaneous records ... also, vital statistics (from ms. v. 1 and 2) 1899
(p. 363) Abigarl Bawldin the wife of David Bawldin departed this life on ye 7th Nov. 1806. Joseph Fox Town Clerk
(p. 363) Mr. David Baldwin, the Father of David Baldwin, died at Fitchburg March 8th 1826. PS Snow Town Clerk Recorded. April 11, 1826.
You might also want to look at this family on findagrave although details on the postings are not complete:
http://www.findagrave.com/cgi-bin/fg.cgi?page=gsr&GSiman=1&GScid=91163&GSfn=&GSln=baldwin