Sleepy and 'lazy' is VERY normal for a 35 weeker. We had to undress DS for at least 8 weeks for every single feed, as well as using a multitude of tricks to try and wake him up.

Ruf is right re. expressing in the night. And if she is BFing already then she most certainly should be going into the nursery at night to do so. The SCN nurses will tell her not to, but it's really important that she does. It's her baby, she can feed it whenever she bl00dy well wants to.

BTDT with bub being given formula without consent, but it is possible to overcome a rocky start, she will need lots of support though. And to stop giving formula! It just fills them up, and then they don't demand the breast, or even try to BF properly. It makes it really, really hard.