I would not allow Skype conference with the kids. There is a possibility that she keeps a video or pics of the day through Skype where other kids faces will appear violating their privacy. Parents know I am the only one that takes pics and videos of the kids in the daycare so I can protect everybody's privacy. You can explain something in that effect. I have an open door policy and parents can show anytime. I even interview during daycare hours. But this is because I have chosen to do it. No parent has pushed me to do so. When we start doing "favors" to parents they think they are entitle to request more and more. My advice, do what you feel comfortable with. You may even get nervous if you do not feel comfortable and not be yourself and kids could sense that and act out and that DOES NOT mean you are not a great provider the rest of the days.