Hi Leigh,
Further to the post by Kellie, that William TITLEY, abandoned his child in Queensland.
Here is his marriage, in 1885:
1885 B9645 (Bride) Mary Ann Sheehan (Groom) William Titley
Here is the birth of that child... Mary Louisa TITLEY, in 1886.
1886 B36300 Mary Louisa Titley (Father) William (Mother) Mary Ann Sheehan
Another baby born to this couple, in 1894?? I wonder if this is your William?
Maybe, the father was just written as William TITLEY, and he may not have even known about the birth?
1894 B55029 James Titley (Father) William (Mother) Mary Ann Sheehan (d. 1894)
Burial in Brisbane Cemetery:
TITLEY JAMES Unrecorded Unrecorded 0 21-08-1894 Burial Toowong Cemetery 16-6-40
Another marriage in 1898??
1898 C1309 (Bride) Sarah Agnes Harris (Groom) William Titley
Then this William TITLEY, below, is fathering children in 1902 and 1909, in Qld. He died (I think) in 1956:
1902 C6665 John Henry Titley (Father) William (Mother) Sarah Agnes Harris (d. 1945)
1909 C6204 Thomas Harris Arthur Titley (Father) William (Mother) Sarah Agnes Harris
http://trove.nla.gov.au/ndp/del/article/84142223?searchTerm=... titley"&searchLimits=l-state=Queensland|||l-decade=188
(Last Paragraph, 17.10.1885, Queensland Figaro)
http://trove.nla.gov.au/ndp/del/article/62417867?searchTerm=... ann titley"&searchLimits=
(Townsville Daily Bulletin, 4.03.1940, has the obituary of Mrs William TITLEY, Sarah Agnes TITLEY/HARRIS).
You can purchase online, and download instantly, the BDM's from Queensland.
Mary