She is not listed in the widow's pension application, but she is 7 at the time of the census of 1860. It is logical that she died before July, 1863.
The Historical Records section of FamilySearch.org has a New Hampshire death record for Ann Bartlett. She was 9 Years and 9 months old when she died. The cause of death is listed as "throat distemp's" The death record does not list her parents' names.
Have you taken a DNA test? If so, login to add it. If not, see our friends at Ancestry DNA.
Ann is 25 degrees from Peter Falk, 25 degrees from John Ryan, 23 degrees from Aristotelis Savalas, 18 degrees from Raymond Burr, 26 degrees from John Thaw, 24 degrees from Margaret Rutherford, 29 degrees from Jean Poiret, 22 degrees from Basil Rathbone, 34 degrees from Piet Römer and 19 degrees from Terri Swift on our single family tree. Login to find your connection.