Is it illegal to have your bills sent to a false address?

For the past few years I've been getting bills in the mail for someone with the same last name as me, but whom I do not know and who definitely does not live at my address. They are bills from student loans and, I believe, court costs. My theory is that this person (this person has a weird first name but know it's a she because I googled her) deliberately had her bills sent here in an attempt to evade the costs (I can't imagine how she expects to do that, unless she completely goes off the grid). So I know I'm not responsible for her bills just because she sends them here, but is it a crime to use someone else's address in that way? A one point I received a big stack of bills several inches high all bundled together. Since then I've informed the post office that this person does not live here, and that basically fixed it, but occasionally I still get something addressed to her, and just now I got a phone call from a collector who stated that this person used this address on an application. I think I found this person on Facebook (she has a very rare name); should I message her and tell her to quit sending her mail to me? I'm hesitant though because from the info I got by googling her, she has a criminal record (fraud). And she knows where I live, so I feel like maybe I shouldn't mess with it. Other than that, can charges be pressed or anything?