Nearly a week after giving birth and enduring some delivery room drama, Kim Kardashian has headed hom, with baby daddy Kanye West and their daughter North, RadarOnline is reporting. 
 
 The only question now is: where, exactly, is home? 
 
 That’s an important question because Kim, 32, and Kanye, 36, really don’t have their own home yet and have been planning to move in with her mother Kris Jenner. 
 
 PHOTOS: Kim Kardashian Pays Homage To Her Pre-Pregnancy Bikini Body 
 
 But after unexpectedly giving birth Saturday morning, week early, Kim is well rested enough to leave Cedars-Sinai Medical Center in Los Angelees. 
 
 The new family split from the hospital overnight Thursday, according to E!, which is home to Kim’s multiple reality TV shows. 
 
 Baby North was born via natural delivery but weighed less than five pounds and was put in an incubator. She is strong enough now to be discharged from the hospital. 
 
 PHOTOS: Kim Kardashian’s Baby Shower 
 
 And while Kim gushed about the experience of having first child, giving her first quotes to good pal Ryan Seacrest, Kanye was remained publicly silent. 
 
 Kanye was by Kim’s side the entire time as he rushed to the hospital Friday night, skipping the listening party for his new album Yeezus. As Radar was first to report Kim cried tears of pain and joy in the delivery room. Her mother was also there, recording parts of the birth with a home camera and the footage, says sources, is not intended for broadcast. 
 
 Meanwhile the baby’s name North has sparked all sort of comments, with family insiders revealing they will call her Nori. 
 
 People close to the family are speculating if and when Kim and Kanye will marry. His busy schedule will soon keep them apart, although Kim has vowed to travel with him, even bringing their new daughter. 

 Yep, it's true! Five days after Kim Kardashian and Kanye West welcomed a baby girl, a source close to the reality star, 32, confirms to Us Weekly that the bundle of joy has been named, as long rumored, North West. The source adds that the "birth certificate is out," and that the little girl, born five weeks early, has no middle name. 
 
 The first child for Kardashian and the rapper, 35, already has a nickname, the source adds: "They will call her Nori for short." 
 
 PHOTOS: Kim's pregnancy and baby bump style 
 
 Indeed, midday on Thursday, a second insider told Us that rumors of the couple's baby being named with a "K" a la her mom, aunts Kourtney Kardashian and Khloe Kardashian, Kylie and Kendall Jenner and grandmother Kris Jenner, were false. (One prevalent rumor suggested that the baby was named Kaidence Donda West, taking her middle name from West's late mother Dr. Donda West.) 
 
 PHOTOS: Kim's pregnant bikini body 
 
 North was born ahead of schedule on June 15 at Cedars-Sinai Medical Center in Beverly Hills. "Everybody is doing great," the insider adds of the family. 
 
 PHOTOS: Weirdest baby names ever 
 
 "The baby is so sweet. Kanye is in love. Kim's real due date was July 12 -- Kanye's mom's birthday. That warmed his heart."
– Another celebrity baby name enters the history books, and let's just say this one is directional. Kim Kardashian and Kanye West have named their baby girl North West, as in the compass direction, claims TMZ, which reports that's what is listed on the birth certificate. A source tells Us Magazine it's true, and adds there's no middle name. The source tells the mag, "They will call her Nori for short." No word yet on how the Kardashian women (Kourtney, Khloe, Kylie, Kendall, Kris) feel about the break in the K-letter tradition. Kim and baby finally left the hospital overnight, Radar reports; click to find out where they have to live.