Hi Graeme,
I have put this individual https://www.wikitree.com/wiki/White-5761 into this sub category: https://www.wikitree.com/wiki/Category:Passengers_on_a_Immigrant_Ship_to_New_Zealand_%28Post_1900%29 pending a new ship voyage sub category for Tainui (1922), allegedly sailed 23rd Feb 1922, confirmed arrival on 4th April 1922. Here's the Paperspast link of arrival. https://paperspast.natlib.govt.nz/newspapers/ODT19220407.2.21?query=tainui
Passenger list: https://www.familysearch.org/ark:/61903/3:1:S3HY-6259-Y8?cc=1609792&personaUrl=%2Fark%3A%2F61903%2F1%3A1%3AKLY1-9YJ
Thanks for all you do :)
Kind regards, Raewyn.