Received call on landline from an automated system asking if I was some random woman name. Press 1 if you are, Press 2 if you're not but you know how to get to them, Press 3 if you're not.
Playing along, I pressed 3. A human female started announcing assertively that this phone call was being recorded, to which I said OK. She then asked me if I was "random woman name", I informed her in my best baritone that I was not. She further enquired what would be a good way to contact her, at which time I let her know I was not acquainted with that individual.

Reading between the lines, given the automated robocall, the "Anonymous" caller id, trying pretty hard to get contact info for someone, no attempt made to disclose the purpose of the call, and the weird tone of the "you're being recorded", it's very likely that this is a debt collector hunting down one of its prey.