“First, you will need to verify the effective date of the policy. Did the policy begin immediately, or at 12:01 AM the following day, or some other future effective date?
Next, the insurance company will investigate the claim to verify the date and time the damage occurred. It would be as simple as getting the police report with an accident, but with a weather-related claim, they will need to review weather data for the time and date in question, and they may even request statements from neighbors.
If they verify that the policy was in force when the tree fell on the car, then they should cover the claim. “