The fact that the lady lied to you is indeed unethical, but it is not illegal. She provided you with paperwork which explained the situation, and the paperwork is the binding contract (in other words, it's the only thing that really matters.) The fact that you rushed through the paperwork or did not read it is really up to you. Unless she literally took your hand and forced you to sign the paper before you read it, it's unfortunately on you.

A verbal contract is only as good as the paper it's written on.