Source close to KK tell TMZ ... it was a NATURAL CHILD BIRTH.  She 
started having contractions Friday night and went into full labor early 
Saturday AM.
Our sources say BF Kanye West was there for the entire thing -- in the delivery room by Kim's side. We're told Kanye cancelled his appearance at his own record release party last night when Kim told him she was feeling "a little off."
It is the first child for Kim and Kanye.
