The marriage of Jeremiah and Sally was recorded in two newspapers: The Providence Journal of 11 Jan 1827, and the Providence Phenix of 24 Dec 1826. (See newspaper announcements transcribed in Arnold's Vital Record of RI)
I have a photocopy of the original marriage entry recorded at West Greenwich Town Hall (p. 46), which reads: "Warwick December 24th AD 1826 -- I hereby Certify that Mr. Jeremiah Whitford and Miss Sally W. Tibbits were Lawfully Joined Together in Marriage by me the Subscriber Jonathan Wilson"
The family Bible says they were married at West Greenwich. It is unclear exactly where they were married, although the record at West Greenwich has a reference to Warwick.
Under that entry the births of their two children are recorded: Mercy Waterman Whitford and Charles Carmi Whitford. Also, according to "Alden G. Beaman's Vital Record of RI, New Series," an infant son was born in 1830 and died 1 April 1830, buried in West Greenwich.
See West Greenwich Marriage Records, Volume 3, p. 1; also Washington County cemetery gravestone inscriptions (mentioned in Alden G. Beaman's "Vital Records"). I have a photocopy of the original marriage entry.