Meghan is like this, just not a big eater.
Graham, my first, was much bigger and ate a ton. Ebby, my second, ate even less than Meghan. They're all just different. I try to make sure I don't force her because I want her to learn to stop eating when she's full. As they've gotten bigger, I can see why Graham has a bigger appetite, he never stops moving! But Ebby is much more sedentary.
I think you're plan is good- give her the milk and let the solids be non-stressful, whatever she'd like to eat.