Hi Maureen and listers

Went to the NSW State Archives yesterday , there are 2 Reels for the "John Davies" Number 2137 and 2470. 2137 is the one online. 2470 has additional information including parents.
Margaret Long/Leng gives her parents as John Kaley (dead) and Catherine. Catherine is not recorded as deceased , maiden name or where she is.
Matthew Burton gives his parents as Matthew and Elizabeth , living in Yorkshire , neither recorded as deceased.
Sophia Burton gives parents as Robert Gill (dead) and Margaret Gill , Margaret living in Liverpool.
Hope this helps , looked on LDS Family search and could only find one marriage that fits the Caleys ,
John Caley to Catherine Lewin 13/6/1831 Braddan , can't find any children for this family however on Brian Lawsons site - Burials we have :
John Caley Braddan 30/4/1832 age 31
Catherine Caley ,nee Lewin, Braddan, 28/4/1833, age 33

There is still a possibility that they are her parents
Perhaps someone can check these burials

Cheers
David