Trust. That's what seems to be missing with this parent. I agree that if the Mom is there the child will not participate normally or behave because he will think his Mom is there to take him home. I would not allow video of my daycare to be taken because you would not have any guarantee that this would not be shared on some other social media in a negative or unprofessional way.

You must tell the dcMom that you will keep her up to date on all the issues and about her child's day but you are a busy woman and you are there to care for ALL the children ALL the time and can't allow your days to be disrupted. Also, you can also mention that your liability may be questioned if there were other people in the home. Good luck!