I've given my dogs grapes. I looked it up online for you, and everything I saw said that the dogs can develop kidney problems if eating LARGE quantities of grapes and raisins.
Not that I'm a vet, but your parents are correct. The vet wouldn't be able to do anything for her paw. If you're babying the paw, you need to quit. She'll heal and be able to run on it if nothing's hurt badly. It's probably kinda like what happen...