A rip takes the first of my vocal surname
You'll see me as a rival because of where I came
One of two things to a saint born in Rome no surprise
Take half of this riddle's series for an opposite prize
Name the name.
The second line refers to the name itself, not of any famous person with the name. Also, don't stress over the fourth line, it's an in-series reference to these riddles
This name is of Italian origin
Depending on how you say this name, it might sound like 2 names combined. Also the name is feminine by the way
That's about all the hints I can give without being too easy with them.
I thought of another hint to push you in the right direction. The second line refers to how the name itself means "rival"