Hi Peggy
The TWO brothers from your family, who came to New Zealand, were James KENNARD (born circa 1838) and Richard KENNARD (bc 1847).
I can't tell you exactly when they arrived ... I've only done a "surname" search of passenger lists ... and that was to no avail.
Information for Richard KENNARD
On the IGI (familysearch.org) there is a (NZ) submitted entry for "Alfred Edward KENNARD - born 26 August 1875 at Dunedin, Otago, New Zealand - parents : Richard KENNARD and Elizabeth GOODMAN" .
From FREE BMD (UK)
MARRIAGES - SEPT - 1869
Richard KENNARD (and on same page) > Elizabeth GOODMAN
Registration District : Kingsbridge, Devon
From New Zealand BDM (online) - BIRTHS
... the following children, all have the parents > Richard and Elizabeth KENNARD :
1875 - Alfred Edward
1877 - Ethel Annie
1879 - Ada
1881 - Blanche
1883 - Leah Eliza
1888 - Bessie
1889 - Harry
[NOTE: There are other KENNARD births prior to the first one listed here, but parents names are NOT shown on the index so I cannot tell you whether they were also children of Richard and Elizabeth.]
more to come >>