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.