Is there anything you can ask her back to redirect the conversation to her answering instead of asking? Like, "What do you think we're having for lunch?" Yep, that's right, it's tuna sandwiches and apples.
Sometimes when I'm feeling overwhelmed by the peppering of questions, I default to saying, "I don't know," which I usually then correct to, "I do know, but I'm thinking about which ingredients to get out for dinner, and you're asking so fast the words aren't really sinking into my brain for me to answer you. I will try to listen better in a minute, but first I need to get this." And then sometimes that little break of almost automatic speech is enough that I can actually answer or narrate what I'm doing, or sometimes I really do need a moment of quiet. My kids are quite a bit older, but it seems to have finally sunk in that when mommy says "I don't know" in that tone of voice, it means to stop asking for a few minutes.