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Also, thanks John for the burial details.

I also discovered that Ellen Jones (nee Green) remarried to a WR Chappell. I found this by examining the Boer War records of Charles Lewis Jones at

http://recordsearch.naa.gov.au/SearchNRetrieve/Interface/SearchScreens/BasicSearch.aspx

and discovered his next of kin was his mother Mrs WR Chappell.

I cannot find a record of the marriage though in either Queensland, New South Wales or New Zealand.

Then I found a lot of memorials of her death at trove.nla.gov.au. (She died 7th March 1909)

Regards,
Jo

I know this post is now 10 years old and I am not sure if you have solved this mystery, but...
Enos Jones is my great-great grandfather and I have been searching for his trip to New Zealand for a long time.
I have discovered the following Jones' on the Dilharree which arrived in Queensland in 1876.
this is from http://www.archives.qld.gov.au/Researchers/Indexes/Immigration/Pages/Immigration1848.aspx
JONES  Ellen   19   Dilharree   14 Aug 1876   1164   18477   Z1959   M1698
JONES  Enos   22   Dilharree   14 Aug 1876   1164   18477   Z1959   M1698
JONES  John   29   Dilharree   14 Aug 1876   1164   18477   Z1959   M1698
JONES  William   20   Dilharree   14 Aug 1876   1164   18477   Z1959   M1698

The last numbers are the film numbers. Not sure if there is any relationship with the John and William but Enos and Ellen's ages match.
Also found this by searching "Dilharee" at trove.nla.gov.au and got this account of the voyage:

Immigration.
THE barque Dilharree, 1293 tons, Captain M'Neilly, anchored inside Cape Moreton on August 11, after a voyage of 91 days. She brings 326 immigrants, under the charge of Dr. de Zouche, surgeon-superintendent and Mrs. Currey, matron. They comprise 7 full-paying, 102 assisted, 181 free, and 26 remittance passengers; their nationalities are : 188 English, 181 Irish, and 7 other countries. The occupations represented comprise—48 female domestic servants, 88 farm laborers, 2 engine-drivers, 1 butcher, 2 carpenters, 5 engineers, 15 miners, 2 coopers, 4 blacksmiths, 1 bricklayer, 1 sawyer, 4 carpenters, 1 wheelwright, and 10 miscellaneous. They arrived at the Queen's wharf by the Settler at three o'clock on Monday afternoon, and on the whole are evidently a very suitable lot of colonists. Dr. de Zouche reports that the general health of the passengers was good, and the pas-
sage pleasant, notwithstanding the ship having been so deeply laden that the ports could not be
kept properly open, thus entailing extra work in attending to the sanitary condition of the ves-
sel There were three deaths during the voyage—Berte Olsen, 61, of exhaustion; and Thomas
Mangnall and Olivia Cambourn, infants, of debility — and there were four births. Upon
landing, the immigrants presented the doctor and Mrs. Curry, the matron, with testimonials
expressive of their gratitude for the care each had evinced for their comfort and health during
the trip.

I then noted the births on board and thought that maybe the birth of William was recorded in Queensland, and guess what, it is!

From https://www.qld.gov.au/law/births-deaths-marriages-and-divorces/family-history-research/

1876   B21296   William Henry   Jones   Enos   Ellen Green

So then I though maybe Sarah was also born here as I could not find a record of her birth in New Zealand and yay!

1878   C1938   Sarah Ann   Jones   Enos   Ellen Green

So they definitely stayed in Queensland for a bit. The B at the start of the reference number for William means the birth was registered in Brisbane.
The C in front of the number for Sarah means the birth was registered in a country district.

I have a copy of Ellen Jones (my great-grandmother's) birth certificate if you would like a copy.

I would love a copy of the letter you said you have that Enos wrote to his parents if you would be willing to scan and send it to me.
 If so, respond to this post and I will give you my email address.
Joanne