Uma Thurman has given birth! Uma and her baby-daddy/boyfriend Arpad Busson welcomed a baby girl yesterday in New York (I think it was NYC). They haven’t released a name yet. The little girl joins her half-siblings Maya (13) and Levon (10), the two children Uma had with Ethan Hawke. I’m predicting a relatively normal name for this little girl… something kind of boho, but not crazy. Like Summer Arabella Busson or something.

Uma’s a mama again! Uma Thurman gave birth to a baby girl on Sunday, a source confirms exclusively to Us Weekly. No other info was immediately available.

It’s the the third child for the 42-year-old Oscar nominee, who has two children — Maya, 13, and Levon, 10 — with ex-husband Ethan Hawke, and her first with financier beau Arpad Busson.

The Smash guest star and Busson, 49, called off their engagement in 2009, but reunited last year.

“Uma was definitely not planning on having another kid. It was a surprise,” a source told Us, which first broke new of Thurman’s pregnancy back in February. “But she’s over the moon about it, very excited.”

Thurman and her daughter-to-be were feted at a small baby shower in NYC May 31 thrown by her half-sister Taya Thurman. Among the two-dozen guests at the baby pink-elephant themed bash were Thurman’s Smash costars Debra Messing and Will Chase.

Thurman’s ex-husband Hawke has also become a parent again following their 2004 divorce; the actor, 41, and second wife Ryan are parents to young daughters Clementine, 3, and Indiana, 11 months.

[From Us Weekly]

Congrats to the happy family! Hopefully they’re happy about it, because I really do think this pregnancy was a complete surprise. Uma announced her pregnancy earlier this year, after there were some suspicious blind items that may or may not have been about Uma’s early pregnancy-partying. Uma was also photographed with a wine glass full of some light liquid back in March, when she was on vacation in St. Bart’s with Arpad and her kids. Hopefully, the baby girl is perfectly healthy and we’ll find out the name soon enough.

Photos courtesy of WENN, Fame/Flynet.