Put your demand to them in writing and include a request that they forward the demand to their insurance company or provide the insurance policy information directly to you. If the roofing company is licensed by your local municipality/County/City, you can contact the licensing agency to see if they have some kind of dispute resolution program or other way to make a claim. If these steps don't work, you'll have to consider suing. You'll need your proof of liability (written admission, etc.) and proof of damages (pictures, estimates for ceiling repair or paid receipts for it, etc.).
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You may have a consumer fraud claim in addition to a negligence claim. You should file a compliant with the NYS Department of Consumer Affairs. Here is the link: https://www.dos.ny.gov/consumerprotection/form/complaintform.asp
You may want to speak with a consumer protection attorney. Often times, attorney's fees are paid by the defendant. This means that if you can establish a violation of the consumer protection law an attorney may agree to take the case on a contingency basis.
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