Just a snippet which may be of interest - or not! And no help with Caroline
This birth (from Thomas' second marriage) in 1864 (#A5508), registered Bathurst, for
Sarah A BRYANT, parents Thomas, Celia
This marriage would seem to be the same female: at Waterloo (Sydney), reg 3428/1885
John MULEEN, Sarah Ann BRYANT
The image for this marriage shows Sarah, aged 21, born Bathurst, with parents Thomas Bryant and Kate Maguire, Thomas' occupation is given as 'butcher'. So it's possible that 'Celia" may have been known as Kate - or possibly, incorrect information given by the bride.