I am in the process of claiming Italian citizenship through my great-great-grandparents and need to request my great-great-grandmother Gelsomina Ferrara's birth certificate. To help with the request, I am trying to determine her parents' names, but the writing on the ship manifest is very hard to read. On top of the visual difficulties, I'm also not super familiar with 19th century Italian names, so maybe I just don't know what word it is I'm looking at

If I had to guess, it looks like the two lines say “Father Domenico Ferrara “ and “Mother Ferrara Carolina,” but those are far from confident. What do you think?
I've included a photo specifically of the two lines in question, as well as PDFs of the original documents with the row and column location in the file names.
Thank you!