She said she doesn't have a car and you didn't offer to come get her??? Boo. Picking a girl up is not desperate, it's normal. I don't drive on dates unless it's absolutely necessary. She probably thinks you're a flake or not that serious about the whole thing. It's OK to message her, but act interested this time. She doesn't think you are. All you've given her is facebook. Man up! Good luck!
EDIT: Rabmizzle is speaking from the guy's perspective. I don't know where you live, but if you live in a "car culture" like I do, there's no way a girl would take a bus or get a ride from her mom or sister for a first date when you could've picked her up. You snubbed her. Fix it if you like her.