Although I can't answer your question at all, as I live in the US and just don't know the answer regarding currently, I would say that from my understanding about the past, there were fees associated with publication of a death notice (actually, much like there are today in many papers of the US). If the family couldn't afford to pay, there was no notice published. However, for your question about your cousin from 12/31/12, have you seen announcement.ie ? I went to the Sligo Champion and after I searched the site for obituaries, I saw they direct you to announcement.ie for more obituaries, as the search I did on the Champion site resulted in a single obituary. Good luck!