Joyce E.A. Russell :
Great questions. Sounds like you are really juggling a lot and I totally understand trying to get 2 infants and a toddler ready to go before 8am - that requires a lot on your part. Sounds like your husband has to go in to work even earlier than you so that does not help.
First, I would not go over your boss to the overall director since that just creates more stress in the office. You could, however, let her know that this is a real concern for you and ask if it would it be possible to have the three of you meet - you, your boss, and the overall director to discuss strategies. That might help. But, before doing that, I would talk to your boss again.
You need to figure out why the 8-10 a.m. time is so critical from her perspective. What is being done at that time? You did not say what your job is, but does it involve having to be in the office to meet with people, man the phones, etc.? There must be a reason why this time is so important. Or, is she worried about setting one set of standards with you and a different one with other employees? If you can talk to her to better understand her perspective (just hear her out), then it might give you some ideas for what can be done. Maybe you can start at 8am on some days and at 9am on other days? Think about creative options here rather than just ALL 8-4 or ALL 10-4. There must be some options in between that can work.
Do you have any other options if you need to keep the 8-4 time? Family or neighbors that you can trust to help you in the morning to get the kids ready or to watch them for a few hours?
The most important thing is to talk with your boss and listen to her views first. Once you understand why the 8-10am time is so important, you might be able to figure out some creative solutions. If not, you may have to look at other alternatives that work better for your family. Good luck.