Have found lots of data and our
Jenn -tropicalj found the important shipping records ....under BARRETT

and independently found similar info back to the 1861 census.
I have pm'd a lot of info to SellickAust as I wasn't sure whether or not I had found the
correct family...but Jenn's passenger record find has me fairly convinced so will detail here...I did work backwards but have detailed in chronological order.
I have tracked the family using Vic bdm's, IGI extracted parish records only, free bdm, Ancestry for census and electoral rolls; and cemetery records. I will place the info in chronological order...
Marriage
BARRATT John William Smith
ASHFORD Jane
14 Jun 1831 Edgbaston, Warwickshire, England
Births
BARRATT John
Father John William Smith
Mother Jane ASHFORD
Birth 30 Nov 1835
Baptism 4 Jan 1836 Saint Phillips, Birmingham, Warwickshire
There is info on IGI for a number of chn to this couple
1841 census HO 107/1147/3
Living at St Thomas Parish, Birmingham
BARRATT John 30 Hairdresser Not born in county
BARRATT Jane 30 Burnisher Born in county
BARRATT John 6 Born in county
BARRATT George 2
Ages are rounded down to nearest r years and in I have found my ancestors' ages incorrect up to 10 years.
1851 Census
Living at 25 Wharf Street, Birmingham,
BARRATT John Head Married 49 Hairdresser b. Northamptonshire, Weedon
BARRATT Jane Wife Married 49 b. Warwickshire, Birmingham
BARRATT John Son Unm 16 cannot read occ b. Warwickshire, Birmingham
BARRATT George Son 11 b. Warwickshire, Birmingham
BARRATT Betsy Dau 9 b. Warwickshire, Birmingham
BARRATT Ann Dau 4 b. Warwickshire, Birmingham
BARRATT ? Joseph/Jack Son 1 b. Warwickshire, Birmingham
ASHFORD John Brother in law Unm 49 Labourer b. Warwickshire, Birmingham
I cannot find a married for John b. 1835 to a Rosanah [may not be her correct name or perhaps a nickname. There is one page that comes up with only a John BARRATT...and no wife named....the page with her name has not been transcribed.
Birth
1857 Sept qtr
BARRATT George Grosvenor Birmingham 62/20
1861 Census RG9/2129/108/20
Living at Rawlins Street No 7 Victoria Terrace
BARRATT John Head Married 25 Gun finisher b. Warwickshire, Birmingham
BARRATT Rosanah Wife Married 25 b. Worcestershire, Kidderminster
BARRATT George Son 5 Scholar b. Birmingham, Warwickshire
Deaths Sep 1855 [Father of John Jr and husband of Jane]
BARRATT John William Smith Birmingham 6d 17
1861 Census
Living at York Street 1-Court-4
BARRATT Jane Widow Head 52 Burnisher b. Warwickshire Birmingham
BARRATT Ann Dau Unm 16 Screw Maker b. Warwickshire, Birmingham
BARRATT Joseph Son 12 Metal smith b. Warwickshire, Birmingham
and thanks to tropicalj good searching skills
BARRETT Arthur J 5 APR 1869 GREAT BRITAIN B 282 012
BARRETT Esther 2 APR 1869 GREAT BRITAIN B 282 012
BARRETT Geo G 11 APR 1869 GREAT BRITAIN B 282 012
BARRETT John 33 APR 1869 GREAT BRITAIN B 282 012
BARRETT John 24 APR 1869 GREAT BRITAIN B 282 011
BARRETT Rosannah 32 APR 1869 GREAT BRITAIN B 282 012
BARRETT Walter 1 APR 1869 GREAT BRITAIN B 282 012
I didn't look for later records in England as I believe I have found the family of
George Grosvenor who married in Aus
Marriage
BARRATT George Grosvenor b. Birmingham
COLE Mary Ann b. Victoria
1882 Reg#1595
Births to the above couple
George Albert b. Emerald 1883 Reg#16216
William Charles b. Fitzroy 1885 Reg#17570
James Henry b. Melbourne South 1888 Reg#4750
John Walker b. Footscray 1890 Reg#13172
Edward Grosvenor b. Footscray 1892 Reg#13526
Ruby May b. Carlton 1894 Reg#27673
Percy Clarence b. Carlton 1898Reg#9456
Ethel b. Sherbrooke 1901 Reg#29978
Marriage
BARRATT George Albert b. Melbourne
BROWN Grace Josephine b. Victoria
1907 Reg 2318
Births to the above couple
Hazel Edith Grace b. Footscray 1908 Reg#3419
George Alfred Joseph b. Footscray 1909 Reg#9857
Ivy Ethel b. Carlton 1912 Reg# 9859
Percival Andrew James Port Melbourne 1913 Reg# 25044 *
Clarence Oliver Leslie b. Port Melbourne 1916 Reg# 6404
and then we hope

Raymond Albert Morel b. 20 Nov1924
Mother Grace was born in 1885 and would be have been 39 years of age in 1924.
* War Service record on
http://www.ww2roll.gov.au/with NOK - wife Lorna.
And now some deaths that may or may not help validate the data
BARRATT George Grovesnor 69 years
Father John Mother Unknown
1926 Kew Reg#5942
BARRATT Mary Ann 75 years
Father James COLE and Mother Unknown
Toorak 1937 Reg#6230
BARRATT George Albert 75 years
Father George and mother Mary Ann COLE
Hawthorn 1958 Reg#13854
BARRATT Grace Josephine 67 years
Father Joseph and mother Keziah Unknown
Melbourne 1953 Reg# 2266
Births
BROWN Grace Josephine
Father Joseph Mother Kezia Caroline CANT
At Footscray 1885 Reg#10073
Cheers
Cando
Edit correct sp.