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According to https://www.relativelyrabbitt.com/the-first-generation-in-new-zeala...
"other members of Mary's family known to be in New Zealand in the early 1880's included; her sister Bridget, who later married Walter Hynes; her aunt Bridget Kane of Merton in North Otago; and her cousins John Cahill, and Michael Scully"
I don't currently have any links to John Cahill, Bridget Kane or Michael Scully.
I do have lots of information on the Maley side of her family, so probably from her father's side
Trish Ward has posted to the Annaghdown facebook page:https://www.facebook.com/groups/1237706779585135/search/?q=hynes
Ellen Hynes, daughter of Patrick Hynes and Margaret Flaherty, I believe she came to Invercargill, New Zealand, married Daniel Lavelle and they had 11 children.