Antonino passed away at the hospital in Palermo on 06 Feb 1841 as per this indexed record on Antenati.
Only issue is, I'm trying to find the exact document for it and I'm failing. It wasn't in Palermo (Proiezione)(oggi Palermo), and it wasn't in from where he was from, Mondello - Palermo (Sezione Mondello e Pallavicino)(oggi Palermo) - so which section is it in? Is there somewhere online that says where this old hospital is located? Anything?
Edit: Wrong record... apparently they had two sons named Antonino... question still stands, where do I find the records of death for the hospital, outside of the indices?