Frithiof on Family Tree Circles

For years the Nobbs family on Norfolk Island has had the story that were were related to Tamati Waka NENE. So far I have come very close.
Esther Ann Cook's orbituary claims her uncles were Pautone & Nene.
Ester Cook m Dwight Allen
I have 9 known children to this marriage, Elizabeth, Harry, Annie, Edward, Agnes (my link), Frank, Gerald, Isaac & Margaret.

William Cook married Tiraha (Daughter of Papa Harakeke)
I have 12 known Children: Esther (My Link), George, Henry, William, Joseph, Edward, Eliza, Jane, Susan, Agnes, Amelia & Anne

However the link to Patuone, as I believe Nene did not have any children, eludes me.