Have you checked all N.Z. resources (death certificates, gravestones, newspaper obituaries, etc.) as well as other descendants to see if they have more details?
To to a certain extent I have - based on what info I had when I started. I most definitely have Eleanor Wall & the boys arriving in NZ in Nov 1861 on the black eagle ship.
I know they came over on instruction from Eleanors brother John Gills/Gilles. John had a farm - he lived in Remuera in Auckland. I know this based on a newspaper article I have in which one of the boys (John) had a dispute over money in which a lot of this is mentioned. Interestingly his uncle John Gillis/Gilles represented his nephew in the hearing asking all the questions etc.
I have found plenty on son Joesph Wall - he settled in Hastings, NZ & was a successful farmer, married a Mary Hooper from Taita in Lower Hutt. Joesph is buried in Hastings cemetery with his wife Mary & one of his sons. As mentioned there are plenty of old newspaper articles mentioning him.
Samuel the son ended up down in the Taupo area as a solider in the NZ armed constabulary, he married a Maori lady & had two children, I have found he headstone in Maori cemetery & it mentions Samuel - he however left her & went back up to Auckland & I believe I have found his grave in Onehunga, Auckland.
The article say's William the son resided in Onehunga when this court case was on & John was staying with him.
I have NOT been able to find Eleanor's DEATH in NZ - in fact other than the passenger list showing her arriving & the article mentioning her her I have no other info on her in NZ.
You could see if your local LDS library has Ancestral file and see if there's more information on it. However, submitted data can be based on real records or assumed data from the submitter (although, having exact dates in the record makes it look more promising)
Actually I've just found the address for our local LDS so I guess I'll go see if they can tell me where their info came from.
There are lots of Co. Tyrone resources stickied at the top of this board. If Andrew and Eleanor were married in a Presbyterian Church 1st Dungannon marriages start 1789 and 2nd Dungannon start 1825. However, early Presbyterian marriages usually give little detail: date, groom, bride (and sometimes names of 2 witnesses, even more rarely townland, have never seen parents listed).
I'll take another look - I just haven't found ANYTHING other than the LDS thing with them in Ireland. Even though Andrew is buried in Ireland, in Dungannon I believe I still can't seem to find anything.
I have a copy of an old letter requesting the book "Wall Family in Ireland 1170-1970" by John Brown so I assume the family is mentioned in there somewhere - that book is no longer in print & I just can't find one :-(
Cheers
Andy