Hi Alise, and welcome to RootsChat. 
The only New Zealand marriage I can find for John Edward Valentine SMITH is to Helen Kidd MURDOCH in 1922. No marriage for a Alice CUMBERBEACH.
But this might be the event you're after: In 1881 an Alice WILSON married a John SMITH (no middle names).
Did John SMITH or his wife Mary nee SUISTED emigrate to New Zealand, and if so, when? Do you have dates of death for them or for the son John, or for Alice?
Spades
p.s. Thanks Beg, I'm on it. 
whoooops ..thanks for moving it . I'm a chat newbie in case no-one had noticed :} The info I have is
Mary Suisted (?Sjostedt) m John Smith << these are my research targets

i only know of one child
John Edward Valentine Smith (Snr) (? b 1856 - )
married Alice Cumberbeach b Jan 1856 (this being Alice's second husband - yes first was James WILSON)
Alice d 14 Dec 1924 in New Zealand
they had 3 children - one of them being my pedigree
John Edward Valentine Smith (Sam) (1885 - 1957)
I don't know with certainty if John and Mary emigrated. I do know John E V SMITH (Snr) was born in England (according to marriage cert at least) and somehow ended up in NZ, marrying Alice in 1881.
Thanks all for your replies. Sorry for the glitch