Nic she sounds normal to me. She isn't awake for long in the morning, could you try some more play time then?
Also have you tried bath and bed at the 6 - 6.30 time? I give William a bath or shower between 6-6.30 and the feed him in the bedroom nice and quite the out him to bed ( sometimes with a dummy). Sometimes he stirs or even wakes a bit but I leave him for 10 min or so to see if he resettles ( most times he does) some times he needs a bit more time to burp. I don't feed again till around midnight.