Contact the police and ask them to charge her with filing a false police report.
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Certainly, you could file a defamation claim against the woman who is providing false statements to the authorities. As a practical matter, it is unlikely there is insurance to pay for such a claim. Without an insurance policy to cover the loss, it is unlikely it would make economic sense to pursue this claim. The advice the other lawyers have given you so far probably makes the most sense, as it gives you a chance to do something about the false statements, yet it does not require you find a way to finance a lawsuit.