My baby start from 4 months old, refused to drink milk while she's awake. My maid start to feed her when she asleep. Fortunately, my daughter like to sleep, so everytime when we want to give her the milk, just let her to sleep & feed her. From 4 months old till 1 year old. Bad dream time finally ended, because we start to feed her by the spoon. She's now 2 & a half years old , drink 2 times of milk a day, 7 ozs every time. :-P :-P
My son started to refuse milk since he was three months old. It was a hard time to force him to drink some. I then let him eat rice cereals and congee instead. He started to drink milk again when he was nine months old.
Since then, he would refuse to drink milk occasionally. But now, he is okay. Therefore, don't worry. :)