Her name is Virginia Amore October 22, 1896 Catania, Sicily, Italy , This is the only thing I do know about the birth of her. I have her Marriage & Death records.
We would suggest that you go to Search then to Wiki. Wiki is where you can learn about the area where you are looking. When you found Virginia's birth did you go to the civil registration (registri dello stato civile) and church records (registri ecclesiastici). This may assist you in finding her parents. Wiki is a great tool to guide you as to how to search an area.
I am not connected with FamilySearch
I have assumed that Virginia Amore was her adopted name, not her birth name.
In most counties at this period of time, adoption was not regulated by government in any way, and was arranged by families and or/ the church. Unless you are lucky and there is something noted on the baptismal certificate you will generally not be able to find out any information. I know nothing specific about the Italian situation, but I would assume to it to be similar.
The only way to possibly find out anything may be to undergo DNA testing.
FS link for DNA article
Blog Connecting with Your Biological Family through DNA Testing https://www.familysearch.org/en/blog/how-to-find-birth-parents-through-dna
There are also DNA Sessions from past Rootstech https://www.familysearch.org/rootstech/
I have Italian ancestors, and have been trying to help a friend with an adopted Italian ancestor.
There are three common reasons why children in Italy were adopted that I know of: 1) the mother died. 2) the parents were too poor to raise another child 3) the child was illegitimate. Regardless, her birth would have been recorded. In the first two cases, her name, and her mother's name would be recorded. If the child was illegitimate, the father's name would not have been recorded. The fact that her last name was Amore makes it seem like she was illegitimate, because Amore means love, like a 'love child'. However, I looked at birth records from Catania, and there are legitimate births of children with the last name Amore.
I looked at the Italian birth records for Catania on the Italian Civil records online, but could only find records to 1903. :( However, I suspect the records are there. The fact that you have her birth date and her birth location should help a lot.
Here is an example of a child born illegitimately from Catania in 1883. (Look at record number 50) It gives the child's last name the same as the mother's. Later, it appears she was married, from the comments in the margins. https://www.antenati.san.beniculturali.it/ark:/12657/an_ua80372/wrdOXxn
Here is an article I found helpful: https://www.italiangen.org/wp-content/uploads/POINTers-Issue-75-Vol.-20-No.-3.pdf