Kenan Thompson -- My Wife Gave Birth ... What's Up With That?

Lindsey Buckingham better beeline it to Babies R Us and buy a gift ... because Kenan Thompson's wife just gave birth to a beautiful baby girl.

Georgia Marie Thompson was born Friday morning around 10:30 AM in New York -- weighing in at 6 lbs - the new parents are exhausted/ecstatic.

Kenan, hasn't slept a wink since the baby was born.

Welcome to parenthood ... and hey, Kenan, while you're at it, check out the Brandi Glanville post on TMZ. Our baby advice -- no matter what she does, don't call her an a-hole!