I'm a bit curious about how you respond when she exhibits these fear/aggressive behaviours? I've seen owners "coddle" and comfort a dog displaying these behaviours, which of course to the dog is a reward for acting in that way, you can see what I'm saying...Dog growls at garbage can, owner says, " Its ok baby, good dog, thatta girl its ok" while stroking dogs fur. Dog thinks she did something right. The obedience training is a wonderful idea, I'm not sure why she "refused" to work for your daughter but I feel she should not be let off the hook ( depending on the age of your child) for misbehaving. Probably a few private sessions with a behaviourist /trainer could lend more insight...