I looked for a marriage between a Carter and Sweett between 1837 & 1860, below is the only one I could find. But it is Jane Sweett not Elizabeth

George Carter
Registration district: Leicester
County: Leicestershire
Year of registration: 1839
Quarter of registration: Apr-May-Jun
Spouse name: SWEETT, Jane
Volume no: 15
Page no: 143

This looks like the family in 1851/61

1851 England Census
Name: George Carter
Age: 36
Estimated Birth Year: abt 1815
Relation: Head
Spouse's Name: Jane Carter
Gender: M (Male)
Where born: Leicestershire, England
Civil parish: Leicester St Mary
County/Island: Leicestershire
Country: England
Address: 47, Grange Lane, St Mary, Leicester
Occupation: Brickmaker
Registration district: Leicester
Sub-registration district: West Leicester
ED, institution, or vessel: 9k
Household schedule number: 31

George Carter 36 Brickmaker
Jane Carter 30
George Carter 11 Brickyard Boy
Elizth Carter 8
Isabella Carter 6
William Carter 2

1861 England Census about George Carter
Name: George Carter
Age: 46
Estimated Birth Year: abt 1815
Relation: Head
Spouse's Name: Jane Carter
Gender: Male
Where born: Leicester, Leicestershire, England
Civil parish: Leicester St Mary
Ecclesiastical parish: St Mary
Town: Leicester
County/Island: Leicestershire
Country: England
Street Address: 47, Grange Lane, St Mary, Leicester
Occupation: Bricklayers Labourer
Registration district: Leicester
Sub-registration district: West Leicester
ED, institution, or vessel: 14
Household schedule number: 6

George Carter 46 Bricklayers Labourer
Jane Carter 42
Elizabeth Carter 18
Isabella Carter 15
William Carter 13 Brickyard Labourer
Jane Carter 10
Thomas Carter 7
Emma Carter 5

The William Carter above was the son of George CARTER 1815-1819 and Jane SWEETT 1819-1862 and born in 1848 in Leicester. He married Frances 'Fanny' Carr 1849-1892. on the 17 July 1870 in the parish of St. Margaret, Leicester.
He did not emigrate.
Census 1871 living in St. Margaret
Census 1881, 1891 and 1901 living in Loughborough, Leicestershire.
These are the children of William and Fanny:
Elizabeth Ann 1871,Catharine 1873, Mary Jane 1877, James Henry 1879, and William Henry Carter 1879.
Where did your William die beattie? was it in nsw or Melbourne?

Noggin and Janilye.
Thank you both for your prompt reply to my problem.Unfortunatly I have most of your information already from my own research over the years.What I have and know to be accurate is as follows.
WILLIAM + MARGARET HIGGINS came out to N.S.W departing PLYMOUTH 17.10.1878 arriving SYDNEY 12.1 1879. NORTHAMPTON was the ship ,from passenger list. They then married on 22.1.1879 at ST. AUGUSTINES CHURCH, BALMAIN.Must have been shipboard romance.They then went to GEELONG VIC. to have first child 1880.
This is from WILLIAM + MARGARET'S marriage cert.I have the following for WILLIAM.
Bachelor,LEISTER,ENGLAND,Bricksetter,25,Balmain,GEORGE CARTER,Brick moulder,ELIZABETH SWEET, Parents.
This is for MARGARET HIGGINS,Spinster,TIPPERARY IRELAND,Domestic assistant,23,Balmain JOHN HIGGINS,Farmer, JOHANNA CARROLL Parents.
Also on cert. Margaret signed, William made mark X. Witness by J.KELLY + JOHANNA HIGGINS,sister of MARGARET ,family members on board also. Kelly family {wittness}also on board.
This is where it gets complicated.I have GEORGE CARTER B1840 M ELIZEBETH SWEET???
Both B LEICESTERSHIRE ENGLAND.They had 1 child.WILLIAM CARTER ,B 1854in LEISTERSHIRE.
THE BIG PROBLEM is GEORGE was 14yo, going by these date when WILLIAM was born.
Sorry to shout but this is sending me crazy. Am I missing something.I have gone on a bit, is this the correct way to communicate?Thank you both again Beattie.

P.S to JANILYE.
WILLIAM D 1907 in VICT.
MARGARET D 1891 in VICT.

Yes I thought it might be Melbourne, I was thinking possibly Hawthorne

I actualy have ST. VINCINTS HOSP. FITZROY as place of death.He is buried at BOROONDARA Cemetery,I think in KEW which in the general area.Unfortunately parts of the D.C. I have are illegible.I am Getting excited.Beattie.

Don't get too excited, I'm swimming against the tide here.

This is the only death I have found for a William Carter in Melbourne in 1907. If this is it, having no family I suppose it is understandable the informant made errors. If it is not it! well you should have the number on your copy.
Australia Death Index, 1787-1985
about Wm Carter
Name: Wm Carter
Death Place: Fitzroy, Victoria
Age: 57
Father's Name: Carter Wm
Mother's name: Margt
Registration Year: 1907
Registration Place: Victoria
Registration number: 8232
Estimated Birth Year: abt 1850

This would be William and Margaret at Boroondara
*Note: religion, it may help in further research
Does look as if Margaret died in childbirth.
There were no newspaper death notices.
Hopefully you will sort out William's Parents. There were so many brickworkers in Leicester and Carter not being uncommon you have your work cut out.
It'll come, you'll stumble on it.