I can sympathize as a similar thing happened to me. Although I didn't see the other car stop since I saw a police car off to my left side and was distracted. Thankfully in your case everyone was gracious. In my case the girl driving told the officer that I had nearly hit her at the previous stop light (which I hadn't) and that the car was new (which while used and technically new to her, it was covered in a heavy coat of dirt suggesting that she hadn't cared for it in months). The girl's insurance company was annoying as by CA state law if the damage is assesed to be under $450 it doesn't need reporting (it was $500 and I know it only takes $400 to repaint a 2 inch long chips in the bumper paint at a reputable repair shop).