tis, I would not jump to a quick conclusion of no ownership. While you don't "own" the road in the traditional sense, according to NH law you do own half of it according to the courts / law. Hopefully you have a personal excess liability policy to take over where your homeowners policy stops, just to be sure you are covered in any event. A call to your insurance broker might be a good idea to be sure you are adequately protected before an event presents itself.
Please read pages 21 and on in this book.....
http://www.effinghamnh.net/wp-conten...lbook-2004.pdf