My newborn has had a head cold for a while.. worrisome?

You didn't mention what type of milk she's being given. if you're giving formula, I would suspect the cow's milk. My 10yod was like that all his first year. When i switched to real milk it got worse. I finally had someone suggest taking him off all dairy and it all went away. If you're breastfeeding, then considering taking the dairy out of your diet. this is just a thought for you. I just remember my 10 yod being like that. Hope she feels better soon.