Hi lucky blue jay,
Congratulations on the new baby!
You stated your needs in a kind but firm way. If she wants further explanation, you could tell her just what you said: that you're sleep-deprived and not able to entertain visitors as you normally could. Staying with a friend wouldn't be a bad idea. Another idea would be to lock the doors, watch a movie or take a nap, and if she shows up, ignore the door or pretend to be asleep.
I don't know if you've seen this article on
BOUNDARIES: Upholding our values and independence yet, but it's really good and might be helpful as you talk to your mom.
Let us know how it goes! Take care, dear one, and be gentle with yourself.