Hi, Pauline!
I am sorry you are not finding dining times that work with your schedule. Here are a few options for you:
-Quick Service locations do NOT require a reservation, so feel free to dine whenever you like. There are numerous options to choose from in the Magic Kingdom, including
Pinocchio's Village Haus which overlooks the entrance to
it's a small world (always a hit with the little ones!)
-Keep trying for a reservation, even the day prior to your Magic Kingdom day. Since guests must cancel unused reservations or get charged a penalty, you will see some last minute cancellations (but have a back-up plan in case you do not secure a table).
-Book a dining location at a resort just outside of the Magic Kingdom. Accessible via monorail are 3 amazing resorts: the
Contemporary Resort, Polynesian Village Resort, and the Grand Floridian Resort and Spa. All have multiple dining options with table service.
Hopefully you will find one of these options will allow you to find a happy solution to your dining issues for your Magic Kingdom day. If you can just wiggle a bit with times or dining locations, you should be able to find a lovely meal to enjoy with your family!
Cathy