Jamesena passed away in 1998 and was buried at Havelock North in Hawkes Bay.
Research Note
Birth record has "Jamesina" as her given name. Family Search's family tree has "Jamesena Lynn". Death record has "Hannah Jamesina." She appears on the Irish Civil Registration records as "Hannah J E Fleming" and on the New Zealand Electoral Roll as "Lynn Sanderson" after her marriage. I have gone with "Hannah Jamesina" known as "Lynn."
Sources
"Ireland Census, 1911," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:QYC8-NWPZ : 26 December 2018), Jamesina Fleming in entry for James Fleming, 1911; citing Old Park, County Antrim, Ireland, Census, National Archives of Ireland, Dublin.