Any tips on how to pave the way for a smooth first meeting between parent and child?

We adopted internationally, and I guess you could say our adoption is semi-open? When our daughter, V, was placed with us (3.5 years ago, she was 11 mos. old) we met her mother, and I’ve sent 1-3 updates a year since (but no word on whether her mom received them). We’re traveling next week to visit our daughter’s birth country, and I just learned last night that we will be able to meet with her mom while we’re there — her birthday falls during the time we’re there, so she wants to have lunch with us on her birthday. I am excited that she’s willing to see us, but I am not sure how to best prepare my daughter. V is curious about “[firstname]-Mama”; she knows she grew in her womb, and she’s asked me if XYZ-Mama nursed her, etc. She knows we might see XYZ-Mama this trip, but (until last night) that was just a maybe. Even so, last weekend we went to a paint-your-own pottery place and V painted a bowl for XYZ-Mama, just in case. OTOH, V tends to be a little shy with people she doesn’t know, and she hates to be the center of attention. (Though she relaxes around food, so lunch might help.) There’s also a language barrier.