Honestly, I don't get it. I teach adults and I don't even have them on my facebook, so no idea why you'd have kids on there. Yes, I have really liked some of my students, but I tend to keep them at a distance - sometimes a little hard with adults, as you inevitably end up chatting up non-educationy things sometimes, but totally easy with children.
I don't understand why people are so lax with their security, it's honestly not that hard to change all the settings so you are unfindable.
I feel sorry for teachers who get in trouble for posting photos of nights out when they aren't even friends with their students, but not for this woman. She just seems a bit pathetic.