Wendy I would think the three phone listings may possibly be family. I can't see the name McKERNIN in any other state in Aus. The deaths were the only McKERNIN's on the Victorian death index.
Either of the death certs will give you any chn's name. The cost of the cert is AUD$17.50.
From Australian Resources...Victorian Resources at top of board
Info on Death Certificates in Victoria.
Date and place of death; name and surname; occupation of the deceased; sex and age; cause of death, duration of illness, medical attendant by whom certified and when he last saw deceased; name and surname of parents (if known) including mother's maiden surname; signature, description and address of the person who gave the information; signature of deputy registrar, date and where registered, when and where buried, undertaker whom certified; name and religion of Minister, or names of witnesses of burial; place of birth of the deceased and how long he or she resided in the Australian colonies or states (stating which), name of spouse, place of marriage, age at marriage; names and ages of children of the deceased.
Cheers
Cando
