I can't find any immigration records from England to Australia which would have been around 1893.
Where have you looked?
If you have taken his years in Australia from his death certificate then how do you know the figure is accurate? Info on death certs only as accurate as the knowledge of the informant.
You call his wife Sylvia yet she is known by her second given name, Annie in the death notice.
According to my resource of transcriptions of headstones at Rookwood, he was born c
1869.
Interred at Rookwood, Old Church of England, Section 3, Row 27, Grave# 2959, 2960
William Francis
PEARCE Died 11 Jun 1923
54 yearsMy husband, our father.
His parents were Lucy Sullivan and George Pearce.
Some
speculative research!
There is only one marriage I can find between the following
http://www.freebmd.org.uk/cgi/search.plMarriages Jun 1851
PEARCE George St George Southk 4/529
SULLIVAN Lucy St. George Southk 4/529
1861 Census RG9/385/115/14
Living at 3 Wilton Terrace, Peckham, Camberwell, Surrey
PEARCE George Head Married 32 years Plumber Born Lambeth, Surrey
PEARCE Lucy Wife Married 34 years Born Southwark, Surrey
PEARCE Lucy Dau 7 years Scholar Born Camberwell, Surrey
PEARCE Mary Ann 5 years Born Camberwell, Surrey
PEARCE William 2 years Born Camberwell, Surrey
PEARCE Josephine 1 year Born Camberwell, Surrey
SULLIVAN Ann Wife's mother Unmarried 67 years Born St George Southwark, MiddlesexSULLIVAN Ann Visitor 32 years Unmarried Born Woolwich, Kent
There are further census with George's occupation as plumber.
Deaths Mar 1901
PEARCE Lucy 75 years Camberwell 1d/560
Deaths Dec 1901
PEARCE George 72 years Camberwell 1d/551
And it looks as though their son was Wm Francis.....
Births Dec 1857
PEARCE William Francis Joseph Camberwell 1d/465
You have
the details but how many
certificates?
What was his father's occupation on the
1910 marriage cert? What was Wm's age, place of birth and occupation?
Is it possible that Wm F wasn't honest about his age
All speculative research but you need to have an open mind if we are to locate his arrival in Australia Cando