Hi Jane,
What else do you know about Kezia? What dates are we talking about?
I smell an interesting story here... 
Prue
Its all very strange but what we have so far is:
Kezia Wicks b1806 Charlton Surrey, par Steven Wicks 1781-1837, Butcher, & Jane Flint c1783-1824;
No marriage record found to date but the father of her 3 known children was Ferdinand Walters b 1803 Pentrich Derby d1848 Windsor Berks, Corporal of Horse in 2nd Lifeguards;
Children - Frederick b c1832 London (no birth record yet); Walscourt Ferdinand Walters b 4 Apr 1842 Westminster London (my 3G GF); James b 16 May 1844 chr 9 Jul 1842 Sydney (father Ferd. Walters);
Following Ferdinand's death in July 1848, she married Thomas McEnery in Adelaide 27 Mar 1849;
Kezia died in Melbourne 1895 and is buried in the Melb General Cemetery.
Its a real mystery as to why she would leave such a young child and head off to Australia. The family story is that the children were left with the Walters family, who placed them in care.
Jane