This is me on any given morning. Obviously went to bed much later than I should have only to be woken up multiple times by my eldest 2. My favorite is when I am woken up and informed that they have to do a pee, which they do and then they go back to bed. Wonderful times. So what could have been a 6 hour sleep gets broken up into 4 or 5 naps of varying length.
Bring on the coffee, and lots of it.