We went through a period of 5-5.30 wake ups. I just can't funtion at that time. I would get up and give her a bottle then lay on the lounge and watch tv while she played on the floor for an hour or so. Now she's waking at 6.30-7.30 thankfully. I am better at that time, particularly 7.30. If she wakes at 6.30, I will watch tv for a bit, though it can't be too long these days, she's demanding 'num,num,num' (breaky) about half an hour after she wakes up.
I am so not a morning person either.