Australian Deaths in newspapers pre 1860 
                                                                             

"Weekly Register", "Sydney Despatch", "Maitland Mercury".  The full newspapers can be viewed and/or downloaded from the Australian Periodical Publications 1840-1845 at the National Library Canberra. 

Various historic Australian newspapers 1803-1954 can be viewed at the National Library of Australia ;  and you can see which papers are available for what period by clicking on the name of the paper. 

Sydney Gazette - Printed copies 1803 to 1810 are available in some family history libraries.  Other years may be available on microfilm in larger libraries. 

SMH  - Sydney Morning Herald, microfilmed copies available in many major Australian libraries.

The "London Times" (1785 - 1985) can be viewed through your local library (check with them for details).

"The Gentleman's Magazine" 
"The Asiatic Journal" - some editions are on Google Books.

(N.Z.) - New Zealand papers can be found on the Papers Past website prepared by the New Zealand Library. 

ABGR Series 1 is "Australian Biographical and Genealogical Record, 1788-1841", book published in 1992 in association with the Society of Australian Genealogists.

Other English and Irish newspapers not mentioned above (see list of 19th Century newspapers) are available through the Gale group.  Your local library will have details.