Hi Leanne
Eva ANDREWAs none of us had found any leads to Eva in adulthood, the next thing to check was, had she died shortly after her birth ?
Sadly, that seems to have been the case. Quite often, if a child was just days old, and it's birth hadn't yet been registered, then birth and death would be registered at the same time.
And for some inexplicable reason, sometimes it is found in the Birth / Death indexes, that only one "event" has been "officially" recorded !
Eva's birth 1909 was registered in Otaki.
John Howard and Frances Andrew are on ER for 1911 at Otaki, where he is a storekeeper at Manakau.
John B
John B's info above, was helpful in finding Eva.

Though she is not named specifically as Eva, you can see her burial at the following site -- shown as >
ANDREWS - Infant - aged 2 days
Date of Death/or burial or cremation : 4 April 1909[The NZSG Burial Locator gives --
ANDREW - Baby - 1909 ]
http://www.horowhenua.govt.nz/Online-Services/Cemetery-Search/[The online BDM has birth of Eva ANDREW registered as
4 April 1909 - though it seems if 2 days old at death, her true birthdate was probably 2nd April. ? ]
~ Lu
PS : Death notices for her parents, to follow.