I would tell him what you've found and that you know he's not doing anything but that I'm also going to have a chat with her myself. I would then march myself over to wherever she is and have a little sit down and say something along the lines of, "I trust my husband implicitly but given your rampant history in this area and the fact that I do not know you, I do NOT trust you. Please refrain from contacting my husband in the future. What you do with your own time is up to you but please leave my husband out of it. It is neither classy or becoming on your part. You've already got a bad enough reputation, don't make it worse." And I would leave it at that (if even say that much to begin with... I'm not very confrontational and would probably leave that list bit out, lol).
Normally I wouldn't recommend saying or doing anything at all but this woman is clearly overstepping her boundaries. What a hussy.