Welcome millsy48.

The New South Wales death indexes don't tell you much so it's hard to say if this is your Edmund without his age at death. Death certificate would give you more information, or you can obtain a transcript of the death certificate for about half the cost. Edmund and Emily's marriage certificate for 1890 may also include parents names.

DEATH.

Name: Edmund J JONES.
Died: 1934.
Place: Rockdale district, New South Wales.
Age: -
Father: Hugh.
Mother: Amelia.

Source: Registry of Deaths, New South Wales. Reg #11787/1934.

This is the birth for the above Edmund J Jones (middle name John)so not the right one, according to the Electoral rolls this Edmund J Jones lived in and around Newtown, Rockdale area.

Australia Birth Index, 1788-1922 about Edmund J Jones
Name: Edmund J Jones
Birth Date: 1881
Father's Name: Hugh Jones
Mother's name: Amslia
Birth Place: New South Wales
Registration Year: 1881
Registration Place: Newtown, New South Wales
Registration Number: 6479


I came across this birth in Wagga Wagga possibly nephew??

Australia Birth Index, 1788-1922 about Edmund Joseph Jones
Name: Edmund Joseph Jones
Birth Date: 1881
Father's Name: William Jones
Mother's name: Jessie
Birth Place: New South Wales
Registration Year: 1881
Registration Place: Wagga Wagga, New South Wales
Registration Number: 22104

Possible marriage for above Edmund Joseph Jones parents

4344/1876 JONES WILLIAM INGLIS JESSIE WAGGA WAGGA

and this could be the two brothers,

BUT you would definitely need a copy or transcript of the marriage/s to get fathers name.

Australia Birth Index, 1788-1922 about William Jones
Name: William Jones
Birth Date: 1847
Father's Name: Samuel Jones
Mother's name: Anne
Birth Place: New South Wales
Registration Year: 1847
Registration Place: Sydney, New South Wales
Volume Number: V18472059 33A


Australia Birth Index, 1788-1922 about Edmund Jones
Name: Edmund Jones
Birth Date: 1850
Father's Name: Samuel Jones
Mother's name: Ann
Birth Place: New South Wales
Registration Year: 1850
Registration Place: Sydney, New South Wales
Volume Number: V18501179 35

Neither of these are the Edmund Joseph Jones you are looking for.
Hugh and Amelia son was born 1881 Edmund was married in 1890.
William and Jessie's son born 1881 and died in 1882.
Emily Green was born in Victoria, i am currently looking for her sister Henrietta Green and have some information regarding Emily.

Bendigo Advertiser, Friday 25 April 1890 p 2 Family Notices
JONES–GREEN.
On 27th April, 1889, at St. Michael's Church, Wagga Wagga, by Rev. Father Galahor, Edmund Joseph Jones to Emily, youngest daughter of David William Green, Camberwell Grove, Camberwell, England.

The Age Thursday 20 February 1908 p 6
maintenance claims,
DYING MOTHER AND CARELESS
FATHER.
At Brunswick yesterday Edmund Jones, laborer,
was charged with deserting his three children,
who were now being kept by the State.
Mrs. Henrietta Green, mother-in-law of defendant, said her daughter was dying, and defendant had only sent her 35/- in seven months.
Constable M'Kinney testified to having arrested
accused after he had come out of an hotel in East
Brunswick.
Sister Emily Dight said, had it not been for her
finding Jones's wife at the time of the birth of
the last child, and for the help of the Ladies'
Benevolent Society, the woman would have died
then. She had worked up to the very last, and
had never recovered. She was now dying. They
had no food.
Defendant said he had been at Seymour, in
work but did not know if he had his job now.
he had come down to arrange about giving his
wife something.
Mr. Tierney, J.P: Arrange, man! Why? you knew they wanted food. Why did you not give it? What arranging could there be?
Constable Coppersthwaite: What did you do with
the £11 you earned in New South Wales?
Defendant: Spent it on clothes and things, and
lost £3.
Constable Coppersthwaite: Clothes for your children?
Defendant: No.
An order was made for 5/ for each child.
Defendant: if I want to leave the State-
Mr. Tierney: You will go, to gaol for twelve
months if you do.

thankyou everyone for your help. Roefs, Henrietta is Emilys mother and my gg grandmother Emily married Edmund jones in Wagga Wagga in1890 Her father was William David Green who migrated along with Henrietta on the ORWELL, in 1859 iwould like to share information if it can help anyone else and they with me|