I doubt it too. That's why I think it makes more sense that the town has it. Or if there are more than one witch one or the other has it. I don't think the witch would be so OP that they can kill then cover their tracks in a write-up making them look like they hung around in bed and did nothing. We don't even know if there is more then one witch and that they only have the Cynic to work with as of yet.