Is it likely that our insurance company is going to decline coverage if we did not give them timely notice of lawsuit?

Question Details:

We are a janitorial company. In 11/09 a lawsuit was filed against us for injuries in a slip and fall case. The individual has a good case. Our insurance company has notified us that they are reserving the right to deny general liability coverage for the claim because we failed to give them promp notice of the lawsuit. They received notice in 02/10. Their claim is that information gathered to date indicates that we may have been served this lawsuit in 11/09 and also received a tender of defense from the customer we were working for.

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