Rebecca is listed on the membership list of the Congregational Church, Bristol, RI, as of 22 May 1785. The will of Rebecca Munro, widow, dated 16 May 1826, mentions her deceased father Richard Smith, sons Josiah & Jeremiah (dec'd), and daughters Mary & Rebecca (widow of Benjamin Munro).
There seems to be some confusion about the actual date of death. The "RI Genealogical Register," Vol. 13, p. 242 says 3 Nov 1827, while the RI Cemetery Database records her date of death from the gravestone as 31 May 1827. However, her will was proved 7 Jan 1827. Perhaps she really died in November 1826?