I completely agree with ST. Do not lie about who is watching the baby. I would not offer any information. You do not have a legal obligation to inform them when she is being watched, or who is watching her. Lying does make it seem like you don't think your mom watchng her is a good idea, and they will use that info. If they ask, just smile and say baby is doing fine, thank you, and move on to the next conversation!
"You can't stop the waves, but you can learn to surf." Jon Kabat-Zinn