Thanks Guys - this information is more than I ever imagined.
Is there any register of passengers ex Norway bound for NZ that are searchable ?as this was the initial basis of my webchat search.
Olava appears to have arrived in New Zealand about 1880 (she would have been aged 20) and she married Frans Wilhelm Anderson (known in NZ as William Francis Anderson) in 1884 at Wellington NZ. I have found an arrival in Wellington in 1884 for a Lena Olsen, which as has been suggested may have been Olava's sister, arriving for her wedding. While there are a number of shipping data bases for immigrants arriving, I have been unable to track down her arrival - so a departure date and ship's passengers lists ex Norway might be a better source.
I now have to look and find the arrival of Olava's husband, an emigrant from Sweden. Once again - thanks for all the very valuable information so far provided.
Emigration records from Norway are organized by port of departure rather than intended destination. An overwhelming majority of those records surviving have been made available in database form at the Digitalarkivet website. http://www.rootsweb.ancestry.com/~norway/DigitalArchives.html
Thanks for the input. Since my initial postings I have discovered that Fredericke Olava OLSEN was sponsored to NZ by her sister Caroline's husband Carl Lamberg. She arrved in Wellington on 7th May 1874 on board the ss Arethusa, of the 375 passengers she was alone as a non English speaker. Apart fro mer sister Inger Marie, all be othe siblings also emigrated to New zealand, These were Cariline, Karen Kristina and Hans Jacob. There parents were Bertha Maria Jacobsdatter and Ole Christiansen. After the deat of her huband Bertha remarried and had two further children. As far as I can ascertain they stayed in Oslo, I had pleasure of visiting Oslo in May this year which my wife and I thorughy enjoyed even managing rohave a guided tour aroundtge old Aker Church by ne of the pastors. WE have nothing like this in NZ as our oldest churchs only date from about 1840 = 700 years after the completion of your magnificently preserved and maintained church. We also visited Gothnburgh where Olava's husband was born. Both cities were emotional experience we will never forget. Cheers