My red '71 GT was Pricilla. My dad was welding on her at the time and thought she had a lot of attitude. This from a man who's GT was Sue, named after a random license plate that he received when he registered the car.
Had a '75B for a short period of time that never had a name cuz it wasn't around long enough to earn one.
My '67 B race car is The Biscuit (SeaBiscuit), because after my first weekend on track, everyone passed her just like in the beginning of the movie. Hopefully as I progress, that won't be the case, just like in the movie.
I am with some of you. A car has to earn a name, or it has to strike you based on some experience, story or car tendency. I have tried naming them outright and it never sticks. It should be like how people in the Bible were named. Peter, the rock, etc. It has to fit with the experience and "behavior" of the car.