Well done Joanne!
Your more detailed info regarding the entry on Francesca has helped me to identify her mother.
Line 183 clearly says:
Leonarda Iacono aged 40
line 184 says
daughter D'Ambra Franc superscript a (Francesca)aged 13
Unfortunately these people are NOT from Lipari but from Forio, which is in Isola D'Ischia.Both names can be found in Lipari as well, but if you scroll through the other passenger list from this ship, you will note that most come from the Palermo/Napoli region.
There are many D'Ambra in USA that come from there, but to date I have not found a link between those two branches.
D'Ambra from Ischia are famous for their vineyards.
That still leaves us with the same conundrum....
Who was Luigi's wife and mother of Maria and Michelangelo.