I am making an informed assumption that this death record of "Elizabeth Munro, wife of Jeremiah," belongs to this particular Jeremiah's family group. Neither of them is otherwise identified. However, it does fit with the evidence. For instance, in the 1850 Federal Census, Jeremiah has a daughter Laura from a previous marriage. This is the only death record in the official vital records which could fit the time frame. Also, Laura's death record identifies her as daughter of Jeremiah W. Munroe & Elizabeth Barrington (or Parrington). The RI State Archives has the maiden name on her death record as Barrington.
Portsmouth land records show that a Robert & Sarah Burrington were living there on 16 Sep 1757; perhaps Elizabeth is connected with this family. There are also references in the town records to a John and a Roger Burrington. Could Burrington be an alternate spelling of Barrington? Probably.
In the various censuses, the data shows that Laura's mother was born in RI.