I don't know anything about this stuff at all, but I know that I would be furious as he$$ if I were in your shoes.
My question, though, is - how does this affect your record, etc? Does this prevent you from being able to do anything, does it hurt you or your family in any way aside from the emotional factor?
If it is purely emotional, then I may be inclined to let it go.
It sounds as if someone did this as a stupid prank, in revenge, to "get you back." If this is the case, they are essentially "winning" while you spend you energy and time trying to get this file deleted.
However, if this report will do anything besides harm you emotionally, I'd be inclined to go to a lawyer for some advice. Although the state is going to have to cough up those records that say who reported you, and that stuff may be kept confidential... hard to say.