Any of the ideas you two suggested would work for me. I think that having them discover their mistake is better than Jasmine showing them by saying to look at her driver's license. Besides if they think she is lying to them about not being from this rich family, would they trust her that her license is real? They might think that she paid someone off at DMV to get one to hide her true identity. So just discover this instance of mistaken identity in whichever way you want.