Well, you can't really give her crap for ragging on you at work. She bought a shiny red and pretty car, and then not much later, you went out and bought the same thing, only bigger and better, in the same color, and kinda rained on her parade. If I didn't know you two were friends at work, I would think you're kind of a dick. At least buy a different color, right?
But that's cool that the two of you went to the track and settled it. Her claims are obviously erroneous, but I'd keep the peace by not bragging. At the end of the day she just wants to feel good about her car, as she should, because she really like(d) it when she bought it and wanted to show it off.