No it's not.
Does she really need an iPod? Everyone seems to be buying their kids iPods, and I just don't understand it. It's a status symbol for them, nothing more.
I was babysitting for my friend, and his son made off with my iPod Touch. He gave it back when I told him he could have it, so long as he let me use it indefinitely. All he wanted was to have an iPod, not to use one.