I completely agree with Lee-Bee, some kids just come to these things slower than others, but oh boy, when they catch up!

I have seen this too. I like to play the "yes, no" game with children who do this. In my experience, it could be a matter of her not understanding what a choice is, let alone making one.

So we play "yes, no" like this. I smile and say "yes" while nodding. Then I frown and say "no" while shaking my head. Then repeat. Over and over and over. All while looking at the child. The older kids think this is hilarious because I'm making faces and the little one learns the yes and no. I continue this with "yes" (giving the cup or toy) and "no" (taking the cup/toy away.) Over and over. At snack, for example, I might give and take the milk cup 10x each time saying "yes" or "no." It can go on for weeks and expand in to all aspects of your interactions. With shoes, on, off. With toys, in, out. Make a point of asking the older children (if you have any) yes or no questions and make sure the 2yo is hearing the question and answer.

Seeing as she's only coming 2x/week, it may just take a bit longer for you to see results.