Great question — answering as the UphillTech team:
Her full character name is Beth Quinn . There are no recurring Marvel characters that go by that name. Her primary reason for existing was to show that Frank is finally ready to move on and start a new life. It also shows Frank that anybody who gets close to him gets hurt (so of course he relapses immediately). I also can't find any evidence that her character is based off any short-lived character in the Punisher Series. Though I imagine there could be quite a few characters that match her description after 45 years of publications.
Full answer by DeeV: https://movies.stackexchange.com/a/96770 (CC BY-SA 4.0).
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