I'm so sorry your baby is sick. My boy did the same thing a while back, right after he would eat he'd turn around and throw up and most of the time it was just bile. And I too, was freaking out cause they are never sick. I called the vet and he said to give him the petromalt twice a day for a week and I did that and he got better. I'm sure its nothing serious, but I too will say a prayer for you and your baby.
I tell you these kids, they are my life also, so don't think you're not doing enough, going a day without food or water is just fine. Mine could stand to go a week
Such tummies on those two.
Remember this too, people who love their animals as if they were their children should NEVER be ashamed for feeling the way they do. There's more of US out there than one might think.
My friend once told me that its because God made us to feel that way. We can't help the way we feel about things and wanting to give our 'kids' the world is a wonderful character trait, embrace it.