I would just keep on hanging up. You're dealing with an automated system, and those systems are efficient but not very bright. If you ever get a call from a real person, you can say, "There is no Jane Doe at this address, but I get a lot of calls for her. I need to report it to someone. Would you mind connecting me with your supervisor?" Then you can tell the super about these repeat maybe-collection calls, and something might be done. They can't come after you for Jane Doe's debts.
I'm not sure if this answer relates to your situation at all, but I had a vaguely related experience when I first got a cell phone. I had resisted getting one for years. And once I did, I immediately started getting calls for Howard. Howard who? I have no idea.
Various people called for Howard a few times a week - occasionally two or three times a day. It occurred to me that a whole lot of people were looking for this guy. Were they creditors? Investigators? Relatives? One thing seemed clear: Howard dodged these people by getting a new phone number - and guess who got his old one!
I would tell the callers that there was no one of that name at this address. Most of the time they would just hang up; occasionally they got angry. Finally I said to a Howard-seeker, "A lot of people are looking for this Howard - could you pass the word that this isn't his phone number any more?" Then the humor of the whole thing hit me and I said, "Where do you suppose he's hiding? South America?" The voice at the end of the line laughed.
I don't know if anybody ever caught up with Howard - frankly, I hope they did - but the phone calls petered out after about a year and a half. I still almost laugh when I meet a real person named Howard, but I don't tell why.