This happens with Avery-it scared me at first, because i didnt know why she threw up. She usually is pretty good about eating(we free feed) and she eats small amounts throughout the day, but mostly chows down later in the evening.

But sometimes, for whatever reason, if she doesnt eat at night, then she will throw up bile the next day. So i make sure she eats at night or (early in the morning if not)
Also, if she throws up bile.. i will give her cheerios with a little bit of nutri-cal on it.. and she will start to eat her food not too long after that.