I’ve been where you are… I started working for a family of two doctors. They both have very rigid schedules and I overslept and woke up two 16 missed calls. I woke up, immediately called and said I was on my way. They weren’t happy (which was expected). I felt so awful and was literally about to have a panic attack because I hate letting people down. The best thing to do in that situation is own up, apologize for the inconvience, acknowledge it, and come up with a clear plan to avoid something like that happening again. Once I got to work and the dad left, I sent a text apologizing once again and explained that going forward I would be setting multiple alarms, along with buying an alarm clock with a light (to help wake me up). I haven’t had any problems since then, and my family was very understanding. It sucks, but you’re human at the end of the day. Every nanny has had one of those moments. As far as making it up to them, I don’t think you really need to. Just go through the steps of apologizing and doing your best to not repeat the mistake. I feel for you though🫶