Knowledge really is power, that was a very good thing to do for your daughter. When I was a child, I was downright phobic of spiders because of my mother's example and because when I get a spider bite it turns into a lump the size of a golf ball. I deliberately chose to work to overcome it by learning to identify them. If I can say, yes that is an Argiope, or that is a spitting spider, and I know something about them I'm not afraid of them. It's walking through a spider web or having one of those giant grass spiders suddenly rush up your pants leg that gets me, and yes, if it's bigger than a quarter and it's in my bathtub or the kitchen sink, you don't want to see what I go through trying to kill it myself. It's the same here with snakes. We have rattlesnakes and copperheads that are very dangerous, and we have garter, black, and rat snakes which are not (unless they get a taste for chicken eggs) if you know which is which, there is no reason to be afraid of them or of handling them, but some people go completely crazy at the sight of one.