She has learned the lesson that a spot is not taken until the deposit is paid and the contract is signed and handed to the caregiver.
You have also learned the lesson of having a list of questions before the visit such as what time does the daycare open and close plus holidays etc
you can just move on and start calling around with the new questions for the daycares.
I feel there is no need to call her again as she sounds unprofessional -she can't bring you to court as she has no signed agreement from you.