Australian death certs, and the death index, usually show the parents' names, but only if they were known to the informant, obviously.
In Jabez's case, the names aren't shown in the index.
http://www.bdm.nsw.gov.au/cgi-bin/In...h?event=births
His parents' names should be shown on his marriage certs. It looked as though he married once in Victoria (to the lady who married him bigamously, as some of the cuttings say) and once in NSW.
https://online.justice.vic.gov.au/bd...SearchCriteria