This is one of her children? Sue gave you this information back in Reply #44 in the Thomas CREECH thread. Link given by Sue above.
POWER Harry
Father Thomas Russell
Mother Elizabeth BERNARD
Birth Place MELB
Year 1865
Reg 10285
If you could hunt up the inquest details you say you have already posted and put up a link or copy the information it would people having to go back and look for it. Edit to add - newspaper report shown below.
Over her lifetime Eliza/beth seems to have used the name BERNARD and POWER so perhaps there's documentation in both names.
What information do you have for Eliza BERNARD dying in Melbourne Gaol?
If this is her death then information about the cause of death, burial, children, marriages, parents etc would have been asked for at the registration of the death.. Of course, as she died in an institution it's possible that the informant may not have known much, if anything, about her early life.
Victoria, Death 1880, #1907
Eliza BERNARD, 42
Judith