So at about 6:30 tonight the door bell rings and my wife answers the door, its the neighbor from next door, he says he has a big problem so I go outside with him and into his yard where he shows me where one of my trees which collapsed due to the snow, has fallen. He then shows me where the tree hit his house damaging a section of the eaves trough, after a minute or two of talking it becomes clear he wants me to pay to have his eaves trough fixed, I tell him I'll look into it and we exchange numbers(he lives elsewhere this place is a rental basically).
I intend on calling my insurance company tomorrow and confirming with them that I am not responsible for what happened as the tree itself was not dying or dead and it was due to the storm that it fell so I am not responsible for the repair on his house. Furthermore I will call him to inform him that no one is at fault which is what I believe will be the case and to have him contact his insurance company to reconfirm what I said and although it is a possibility, I doubt he is trying to take advantage of us, I also intend on removing my fallen tree from his backyard tomorrow.
I'm posting this with the intent on educating other homeowners, especially those like myself who are currently living in their first home. If anyone has anything additional to contribute or if I am wrong about anything please feel free to post.