Hebrew name, how to write it, commonality, and history (if applicable)

To give some background info: I was adopted at 4 days old, converted at age 6 including mikvah, and had my bat mitzvah at 13. I grew up as a mostly secular reform Jew in Queens, NY till age 8 and then on Long Island till present day (in case community/location matters to my question).

When I talk about my parents, I mean the ones who adopted me as they are my parents. They are of Russian & Ukrainian Ashkenazi descent (again, mentioned in case it changes the way people would answer).

I remember my Hebrew naming ceremony taking place after I took part in the mikvah (ceremony?). I was given the name “Liba”, as it is both close to my actual name, and was in tribute to my dad’s father who passed. His name was Leo. If he had a longer/full name, it has never been mentioned by him or my grandma. That set of grandparents did speak Yiddish (again, mentioned in case it makes a difference).

I was given a necklace for my bat mitzvah (that I can no longer find) what had only my Hebrew name written on it; ליבּא

Questions: •Would that be the proper spelling? •Is this a common name among either the Jewish diaspora or in Israel? •If not, is this something that was (likely) made up to keep it close to my actual name, Lisa? •If yes, would anyone know any historical background on the name? I have tried generally searching the internet over the years, but have come up with bupkis.