I looked for Edith GORMLEY, but did not have any success. I found an Enis GORMLEY, who apparently was born in Hobart, Tasmania, about 1870.
She appears to have had three sons, but all died young.
She had the following son, in SA in 1892:
1892 500/360 GRAHAM Walter Douglas Walter Otto GRAHAM Enie GORMLEY Adelaide
This son died in (possibly Gerladton), WA, in 1897:
GRAHAM WALTER DOUGLAS Age 4 Father: WALTER VALENTIN Mother: GORMLEY ESSIE Place Birth: ADELAIDE 1249 Year: 1897
She had a second son, Armetriding GRAHAM / GORMLEY, in 1898, in Gerladton, WA. No father, mother was Enie GORMLEY.
Armitriding GRAHAM, died in 1898, aged 3 months.
Enis GORMLEY / GRAHAM then married in 1898, in Gerladton.
Groom: FRITH CYRIL ARMETRIDING
Bride: GRAHAM ENIS JOSEPHINE
Rego No: 720
Cyril Armetriding FRITH had earlier, became a Solictor, Attorney and Proctor, in July, 1891 in Melbourne.
They then had a son, Francis FRITH, in 1899, in Gerladton. He died in 1900, at Geraldton, aged 13 months.
FRITH FRANCIS COKAYNE
Father: CYRIL ARMETRIDING
Mother: GORMLEY ENIS JOSEPHINE
Enis GORMLEY / FRITH died in 1900, in (possibly Geraldton), WA.
FRITH ENIS JOSEPHINE
Father: JOHN F
Birth Place: HOBART TAS
But no sign of any other sons, to Enis GORMLEY.
I had a look at the following WW1 soldier. Grong Grong, is very close to Narrandera. His enlistment, however, states that he was born at Cooma, NSW.
Frank James SMITH
Regimental number: 2481
Religion: Roman Catholic
Occupation: Job labourer
Address: Grong Grong, New South Wales
Marital status: Single
Age at embarkation: 29
Next of kin: Mother, Mrs Ellen Smith, Grong Grong, New South Wales
Enlistment date: 20 January 1915
Date of enlistment from Nominal Roll: 19 January 1915
Rank on enlistment: Private
Unit name: 1st Light Horse Regiment, 17th Reinforcement
AWM Embarkation Roll number: 10/6/4
Embarkation details: Unit embarked from Sydney, New South Wales, on board HMAT A39 Port Macquarie on 26 April 1916
Rank from Nominal Roll: Private
Unit from Nominal Roll: 1st Light Horse Regiment
Fate: Returned to Australia 2 January 1919
No good matches in any of my research, so far.