The protein doesn't add up

I just watched Haunting in Connecticut. I love scary movies, and if they're based on a true story, even more creepy! Maybe I'm getting jaded, though, but the kid who becomes possessed by the dead spirits in an old house storyline is getting tired and repetitive. Remember Poltergeist and the Exorcist and Amityville Horror and a multitude of poor man's versions of the aforementioned?

We think we may have stumbled on a new sippy cup concoction. For whatever reason, Julia has refused to take formula, milk, Pediasure, Boost, Splash or any such derivative from a sippy cup. For the longest time, she only took water. Then we got her to take apple juice. Then we tried to put milk (ick, I know) into her apple juice. The more milk we put in, the less she drank. A girl can't live on apple juice alone. :(

We've still been keeping up with the formula/bottles since her sippy cup intake has been so weak (0-5 oz a day). She doesn't take in much since she, well, doesn't really eat or drink a whole lot. She's probably taking in about 10-15 oz a day of formula from a bottle. 10 - 20 oz a day total.

We finally migrated her from apple juice to orange juice with calcium and vitamin D. We put milk in it for a few weeks. Eh, not a whole lot of difference from the apple juice/milk concoction. She'd drink up to 5 oz a day from a sippy cup.

Someone suggested that we try half & half. Her son HATES milk and all milk products, but he loves orange juice with half & half. You know me, I'm all for seeing if there's a magical potion that will get Julia to eat.

We have added half & half to her orange juice in a sippy cup for the past 3 days, and she's hit 9 oz a day from the cup for all 3 days!!!! Now, it may not be the half & half. She's had an ear infection, and ear infections can cause bottle refusal due to the sucking. So it may be because of her ear infection that she's using the cup more. Or it could be that it's sooooo hot that she's more willing to drink from the cup. Or it could be the half & half.

I wonder if she can keep up the orange juice + half & half for the long-term. I guess I don't really grasp half & half all that much. It's half cream, and half milk. But I don't understand the protein math. Cream has 0 grams of protein, and milk has 8 grams of protein per serving. Now if half & half is half of each, shouldn't it have 4 grams of protein? It only has 1 gram.

And if half & half is half milk and half cream, can I make my own? Wouldn't that be 4 grams of protein that way?

I don't know what else to do since she keeps refusing milk. As in, she will spit it out. This is the best (highest calorie) workaround I can find. I know it doesn't have the protein of regular milk, but if she won't drink regular milk, then I'm not quite sure what to do.

In the meantime we're keeping up the bottles with formula in them. See why I'm so reluctant to give up the bottles? At least we know there's protein and vitamins in the formula.

Have I ever said that I didn't get an easy-going, go with the flow baby? I know at some point, I'm going to better appreciate her tenacity, her stubbornness, her passion for her beliefs. But right now I'm more in the camp that I just want her to eat and drink enough without going on her Gandhi-like hunger strikes on the principle that milk is yucky. The allergist swears up and down that she's not allergic to milk. It's very likely a preference issue.