I was in the insurance business for 25 years, as a sales rep. including a lot of homeowner and fire policies. I can't think of a reason the windstorm isn't covered, and resulting water damage. Often, the insurance company will get professionals on the job quickly because they don't want to have any further damage. They like to work with insurance companies because they know they will get paid, so they will likely ask who your insurance is with.
Please, please Call a professional without delay.
Servpro 1-833-683-4550 NOW. They're open 24/7 and will find somebody close to you.
Here's another one in Hooksett:
Email:
info@soilaway.com
Phone: (603) 967-4667 open 24/7
Their rep, on site, can answer all your questions that we can't give good advice on without seeing the site. If you haven't done the tarp yet, they will probably do that as part of the service.
After they see the site, please let us know how things work out.
Best to you.