Work issues?

I work my butt off at work and I always notice this girl who is taking selfies and sends out snapchats while working. We work in an area where phones/cameras are NOT allowed. It's a big no-no. What we do at work is private and cannot be seen by others. I have told My lead at work what's going on and he does nothing. I have a screen shot of her selfie she puts on facebook(we are friends on Facebook) I am constantly doing her work cause she's on her phone. Would it be wrong to email my supervisor this picture? It clearly shows her face and the background so you know it was taken at work. I would anonymously send it as I don't want retaliation but I cannot deal with it anymore. And I don't want to sound like a bitch but it's getting too me and it's not right...