Elizabeth (mother), David, James (known as Thomas), Jane, Mary Anne and Frederick - (Thomas the father had died by the time they emigrated in several stages).
(excerpt of RootsChat message)

===================

There is at least one record of a KENYON family living near Nelson in the 1860s:

Nelson Evening Mail
August --- 1868
births:
KENYON, 25 Aug, at Dovedale, Mrs H Kenyon, a daughter

==================
Emigration date included in J T Norcross military record.

http://muse.aucklandmuseum.com/databases/Cenotaph/11540.detail

FULL NAME James Thomas Norcross
RANK LAST HELD Private
FORENAME(S) James Thomas
SURNAME Norcross
WAR World War I, 1914-1918
SERIAL NO. 56989
FIRST KNOWN RANK Private
OCCUPATION BEFORE ENLISTMENT Taxi-driver
NEXT OF KIN Mrs Alice Bradley (mother), Tasman Street, Nelson, New Zealand
BODY ON EMBARKATION
New Zealand Expeditionary Force
EMBARKATION UNIT
30th Reinforcements Otago Infantry Regiment, D Company
EMBARKATION DATE 13 October 1917
PLACE OF EMBARKATION Wellington, New Zealand
TRANSPORT HMNZT 93
VESSEL Corinthic
DESTINATION Liverpool, England
NOMINAL ROLL NUMBER 72
PAGE ON NOMINAL ROLL 15
LAST UNIT SERVED Otago Infantry Regiment
PLACE OF DEATH Somme, France
DATE OF DEATH 30 March 1918
YEAR OF DEATH 1918
CAUSE OF DEATH Killed in action
DESCRIPTION OF IMAGE
Portrait, Auckland Weekly News 1918
ARCHIVES NZ SOURCE Military personnel file
SOURCES USED Nominal Rolls of New Zealand Expeditionary Force Volume III. Wellington: Govt. Printer, 1918

SOCIAL EVENING.
Colonist, Volume LII, Issue 12901, 19 September 1910, Page 2

The Druids will hold their, usual meeting this evening at 7:30 and the ordinary business will be followed by an initiation ceremony at 8, and the evening will conclude with harmony and refreshments. At the last meeting, which was attended by: Grand Sec Bro J. N. Grant and a large number of members, a very attractive programme was presented, consisting of songs, instrumental solos and recitations amongst which Bro T. Cole's bassoon song was highly appreciated. The accompaniments were played by Bro T .Norcross, who has been appointed musical conductor for the Lodge. The future concerts and socials are being arranged for by a committee, to act in conjunction with Bro Norcross and it is expected that the Lodge room will be filled, on each occasion.

NZ BMD:

1918/22836 Norcross James Thomas NR
--------------------------------------------
http://muse.aucklandmuseum.com/databases/Cenotaph/11540.detail

Baptisms: 23 Nov 1879 St Wilfrid, Ribchester, Lancashire, England
James Thomas Norcross - Child of Thomas Norcross & Alice Elizabeth
Born: 17 Oct 1879
Abode: Bottoms and in the Parish of Longridge
Occupation: Sawyer
Baptised by: F. E. Perrin Rector
Register: Baptism 1851 - 1921, Page 124, Entry 986
Source: LDS Film 1278946

http://freepages.genealogy.rootsweb.ancestry.com/~sooty/nzefroh1918...

Death: 1918 Mar 30
SN: 56989
Rank: Private
LN: NORCROSS
1stN: James Thomas
Service: OIR
Event: DOW (Died of wounds)
Place: France
Desc: Son of Alice E. and the late Thomas Norcross, of 32, Weka St., Nelson, New Zealand
Burial: FRANCE - DOULLENS COMMUNAL CEMETERY EXTENSION No.1