Not sure if this helps, Deborah, but you might want to look at other spellings of Rice. For example, there's a Hazen Reiss, born 1839, who died in Rexton, NB, in 1906. See "New Brunswick Provincial Deaths, 1815-1938," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XGHP-53L : 11 March 2018), Hazen Reiss, 16 Apr 1906; citing Rexton, Kent, New Brunswick, certificate 003230, Provincial Archives, Fredericton; FHL microfilm 2,320,322.