My husband and I think they will probably make an offer at the end of the visit, but this is all new to us. I'm curious what some of the experts on this board think.
Given the situation you describe, I think your visit will end in an offer....BUT do not get your DD so pumped up that she will be heartbroken if an offer is not made. Downplay it to her, so the offer will be a pleasant surprise if it happens.