She's just eager to show off her new grandchild to the world. However, as a parent, our priority should be on our child's health and safety instead of how others (including close family members) might feel.
If you do bring the baby to the party, you can expect that the baby would be passed around from person to person and of all the guests, one or two might have a runny nose, cough or just doesn't have a sense of hygiene.
I wouldn't risk it. I'd tell her that sorry, but I can't risk my baby's health for her party. I'm direct like that, even blunt. The baby is her grandchild, but your child. She'll get over it.
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