Hello and welcome to Psych Central! First of all, I am wondering if she is jealous of her new sibling. Am I right in assuming she was an only child and got all the attention before he came along? I think she might be acting the way she is to get the attention back. Even negative attention is better than none at all!
Is there any way you can make sure to spend some time with her, to let her know that she is still important and her little brother is not taking her place? I realize while he is sleeping you need to get plenty of other things done, but is there a way she can get some of the time?
What does she enjoy doing? Maybe the two of you could read some books together. Or have a tea party. Or cook together.
I know some parents are able to get older kids to feel a part of the new baby by helping to take care of him/her. I don't know how that would work in this case.
Perhaps even talking to her about how she is your special girl and that the baby is not taking her place in your heart might help. You could ask her about what she would like the two of you to do together. Could you even get someone to look after the little one, so you and your daughter could go out for ice cream or something like that?
Just some thoughts. I hope maybe they can help prime the pump anyway!