Have you considered that she might have allergies to the formula (I'm assuming that's what's in the bottle)? Or she might be allergic to some other food that she's eating that is causing her GI distress at night. Also, you don't mention whether you work or not. If you do work, she could just be missing seeing you and you might get more sleep if you bring her into bed with you. As far as whether this behavior is normal or not, every baby is different and many do have these issues I mention (both mine did) and can have difficulties sleeping at nite. For me, bringing them into bed helped all of us get a better night's sleep. You also don't mention what time you put her to bed or whether this problem has been ongoing since she was an infant. If it's just recently, then it could be she's nearing a developmental milestone. Also, you don't mention anything about her daytime situation - if there's been a change in that, this can also make for a stressful nite for baby.