Steve,
Thanks for the update. The birth year for Felice should have been around 1853-1860, not 1892. Maybe I gave you the wrong date for him.
The only other thing I think might be good to look for would be the military record for Felice. My guess is that he would have to have completed his military service, since it was required for all Italians to serve military time at the age of 18 since 1865. That means that he would have served some time between 1870 and 1880, give or take a couple of years.
According to Italian military websites (see below my message for the sites), it says that you should look for the following records: Foglio Matricolare (I think also called Registro dei Foglie Matricolari), Registro di Leva, and Folglio di Congedo Illmitato.
One site says that the military records are housed at the provincial archives. Since he was from Bagheria, I guess that would be Palermo, correct? Would it be possible for you to maybe write and see what they say? I think even he if he was exempt from serving in the military, it may still provide some answers.
I'm really especially hopeful that this will answer the parentage questions, since they seem to be very biographical records. Let me know your thoughts. Thanks!
Sites:
http://www.progenealogists.com/italy/italianmilitary.htmhttp://www.rootsweb.ancestry.com/~itawgw/contents/records/military_records.html