Yes.. file a police report alleging theft of your purse.. and challenge the charges .. make them show that you signed for the goods..
Did you call and cancel the credit card asap after your purse was stolen???
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You have important rights under the law, including under the Fair Credit Billing Act, when you have unauthorized charges on your credit card. Contact your credit card companies to inform them of the theft and unauthorized charges. Each shoud have a theft or fraud hotline. Also, make sure that you submit a written dispute by mail to the Billing Dispute address provided with your credit card statements. This is usually a different address than the one where you send your payments. Do not send a dispute in with a payment. You must submit the dispute separately, and you must do so within 60 days of the first statement showing the unauthorized charges to invoke the protections of the FCBA. I have more information on the FCBA on my website if you want more information.