Ok guys, I've since found
SIX more children born to John Newman LYONS and Anastatia FLEMING (also known as Anastasia FLEMING). My mother-in-law found a little piece of paper with faint pencilled notations written by her husband in the '70s.
I'll just post it all again from the beginning:-
It is believed that John Newman LYONS was the brother of Michael Henry LYONS (father of former 10th Prime Minister of Australia, Rt Hon. Joseph Aloysius LYONS who was born 15 Sep 1879 Stanley, Tasmania, Australia to Irish immigrants: Michael Henry LYONS and Ellen CARROLL.)
John Newman LYONS born abt 1850 possibly Ireland, died before 1925 (buried Lake Cemetery, West Point, Devonport, New Zealand). He first married at Tuimata, Auckland NZ on 3 Oct 1869/1871 to Anastatia FLEMING born abt 1850 unknown location (died bef 1918 in New Zealand) and they had eight children. Married 1918 (2) Isabella Catherine MEYRICK born 26 Aug 1873 Christchurch, New Zealand, died 1968 New Zealand.
Eight children of John Newman LYONS and Anastatia FLEMING:-
1.Ellena LYONS born 1871 Pukekohe East, New Zealand, died 7 Apr 1935 at Matariki Private Hospital, Te Awamutu, New Zealand. Religion: Roman Catholic. Buried 8 Apr 1935 Lot 227, Te Awamutu Cemetery, New Zealand. Married 1896 at Napier, New Zealand to John OLIVER born 1857 unknown, died 22 Aug 1943 Auckland, New Zealand, buried 24 Aug 1943 Te Awamutu Cemetery, New Zealand. No other details known.
2.Mary LYONS born abt 1873 New Zealand, supposedly married groom surname ORR. No other details known.
3.Elizabeth Julia LYONS born abt 1875 New Zealand, married 1912 NZ to Frank CHILLINGWORTH and the couple had three children, two girls and a boy.
4.Margaret LYONS born abt 1877 New Zealand, married 1905 NZ to Albert Victor DYE born 4 May 1879 Auckland NZ.
5.William LYONS born 12 Jul 1880 Waikumete, New Zealand, died 1964 Auckland NZ. Source: Family Notes.
6.John Newman LYONS (Junior) born 3 Mar 1883 New Zealand, died 28 Feb 1968 Auckland, New Zealand. Source: Family Notes.
7.Annie LYONS born abt 1885 New Zealand, died Apr 1945 Hamilton NZ. Married 1915 NZ to William Richard DIMMOCK.
8.James Thomas LYONS born 1887 New Zealand, died 17 Mar 1976 Auckland, New Zealand (source IGI
http://www.familysearch.org/). Occupation: Master Painter. He married 4 Feb 1925 St Benedicts Church, Auckland, Auckland, New Zealand (source IGI) to Florence Genevieve CULLETON born 10 Sep 1894 Helensville, Auckland, New Zealand (source IGI), died 28 Aug 977 New Zealand (IGI). Florence was the daughter of Peter CULLETON and Annie Elizabeth MARRIOTT.
Five children of James Thomas LYONS and Florence Genevieve CULLETON:-
i) Dennis John LYONS born 30 Jan 1926 Grey Lynn, Auckland, New Zealand, died aged 4 years from a fall (?) 15 Feb 1930 New Zealand. Source IGI.
ii) LIVING male LYONS
iii) LIVING male LYONS
iv) LIVING female LYONS
v) Barry James Joseph LYONS (my father-in-law) born 19 May 1934 Auckland, New Zealand. Married 1961 NZ to LIVING HUGHES. Emigrated to Australia 1969. Died 31 Mar 2003 QLD.
Hoping someone out there can assist?
Kind regards,
Alison QLD.