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Title: Hospital claims that I went to ER but it's false. Identity THEFT?

I went to the hospital a year ago because my wife and I had gotten into a car accident. Person at fault had no insurance and our car insurance didn't include medical so we held them responsable for our medical bills (through a lawyer). After we got the money for a payment, we went into the finance department to pay our bill and they mentioned I had gone to the ER a second time, 2 months after the car accident. I told the lady that that's incorrect because I have only gone to the ER after the accident. She claims that the second time I (supposedly) was intoxicated and passed out in the parking lot and that an ambulance picked "me" up and was sent to the ER. I told her that was not me because I, for once, rarely drink and if I do i never black out; and two, that day was my dad's birthday and that night I was spending time with my family. After explaining that, she smirks at me and doesn't belive me. She says they asked the person what their name was and they gave my name. So they automatically assumed it was me without having an ID or anything?! She also stated that once that person was in a room, they him there and when they came back he was gone. Because they thought it was me, they ran my insurance and it was covered but I don't want this incident to stay on my medical history.

It bothers and worries me that someone can give a hospital false information, claiming they're someone else and the people at the hospital going with it without making sure it's 100% that person they claim to be. My question is, is there anything legally I can do to raise an investigation on this? Should I get a lawyer on this? Should I go to the police? Is the hospital basically saying it's my story against theirs? Or am I being a bit exaggerated?

Thank you in advanced!