If my fiancé hit a dog with his car, who is responsible to pay for his car's damages?

Asked by ItalianPrincess1217 (11979) January 18th, 2010 from iPhone

While driving to work a few weeks ago my fiancé hit and killed a dog. It was still dark out so visibility was low. The dog ran across the road and he had no time to stop. My fiancé went up to the only house that was around and knocked on the door. It turned out to be their pet. The lady said it was her fault she let out the dog to go potty in the backyard and thought she could trust him. But it crossed the road and it was on it’s way back to their house when my fiancé hit it. Although sad, the owners offered to pay for the damages to his car after the holidays were over and they took his name and phone number. We still haven’t received a phone call. His car is driveable but he’s had to replace his headlight and is currently driving around with a cracked side panel and a bumper that is hanging. He feels horrible for killing their dog but feels like it was their responsibilty to keep their dog on their property. And they did offer to pay for repairs. So what should our next move be? Is it really their responsibilty? Or are we screwed? Should we try contacting them and give them an estimate? Any legal information is appreciated. Thanks!