They emigrated to New Zealand in 1887, arriving in Wellington on the SS Tainui. Mary Bronte would have been 45 years old, and her husband was in his fifties when they arrived in Wellington. Their children were mostly grown, and ready to take up occupations. Alexander became a doctor. Their daughter Catherine married a chemist a year after they arrived in 1888, and young Joseph Charles was about 17 or 18.
Mary and her husband moved to Pukekohe, near Auckland, probably to be near their son Alexander, who had a medical practice there.
Mary's husband John died in 1910 in Pukekohe, and Mary died four years later in 1914. She died at her son, Alexander's residence, in Pukekohe.  Mary is buried in the Pukekohe Cemetery.
The couple's headstone reads:
HIC JACET, John Bronte, Native of Lacken Co. Down, Ireland, Died on 11th August 1910 aged 76 Years, and his wife Mary Bingham, also native of Lacken, Co. Down, Ireland, Died on 1 September 1914 aged 72 Years.
At the time of her death, Mary considered her married daughter well provided for, and also did not feel the need to leave her estate to Alexander. Instead the whole of her estate of 654 pounds  was left to her other son Joseph Charles Bronte who was residing in Johannesburg at the time.
↑ "Ireland Births and Baptisms, 1620-1881," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:F51W-SVH : 8 December 2014), Mary Bingham in entry for Alexander Bronte, 10 Jul 1866; citing DROMORE PARISH,DOWN,IRELAND, reference ; FHL microfilm 0496515 IT 6.
↑ "Ireland Births and Baptisms, 1620-1881," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:FPY7-LMY : 8 December 2014), Mary Bingham in entry for Joseph, 26 Mar 1869; citing Dromore, Down, Ire, reference 2:STJVM2; FHL microfilm 101,185.
↑ DEATH.,Pukekohe & Waiuku Times, Volume 3, Issue 226, 1 September 1914  and NEW ZEALAND HERALD, VOLUME LI, ISSUE 15703, 2 SEPTEMBER 1914  accessed at Papers Past, National Library of New Zealand on 19 June 2017
↑ DEATH DUTIES.,Dominion, Volume 8, Issue 2298, 4 November 1914  Papers Past accessed on 19 June 2017
Ireland, Select Marriages - Ancestry.com. Ireland, Select Marriages, 1619-1898 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2014. Name: Mary Bingham; Gender: Female; Marital Status: Single; Marriage Date: 29 Aug 1859; Marriage Place: Drumballyroney, Down, Ireland; Father: John Bingham; Spouse: John Bronte; FHL Film Number: 101403; Reference ID: 447
New Zealand Death Index - Ancestry.com. New Zealand, Death Index, 1848-1966 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2014. Name: Mary Bronte; Death Date: Jul-Aug-Sep 1914; Registration Place: Pukekohe, Auckland, New Zealand; Folio Number: 1804
New Zealand Cemetery Records - Ancestry.com. New Zealand, Cemetery Records, 1800-2007 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2014. Name: John Bronte; Birth Date: abt 1834; Death Age: 76; Death Date: 11 Aug 1910; Burial Place: Auckland, New Zealand; Cemetery: Pukekohe; Spouse Name: Mary Binghan Bronte; Spouse Death Age: 72; Spouse Death Date: 1 Sep 1914
Australia & New Zealand Find a Grave Index Memorial #66016006  Name: Mary Bingham Bronte; Death Date: 1 Sep 1914; Cemetery: Pukekohe Public Cemetery
New Zealand Electoral Rolls - years: 1911
Probate - "New Zealand, Archives New Zealand, Probate Records, 1843-1998," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:Q2XL-SPH1 : 11 January 2017), Mary Bronte, 1914; citing Auckland, , record number 9709, Archives New Zealand, Auckland Regional Office; FamilySearch digital folder 101386237.