T.H.
The best hospitals for a natural birth are Cedars, Good Sam and UCLA with the midwives.
At Good Sam, the best doctors are:
Margaret Bates
Mark Dwight
637 S. Lucas Ave. Suite 200
Los Angeles, CA 90017
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At Cedars, you have a lot of wonderful choices:
Jay Goldberg
433 North Camden Drive, Suite 1190
Beverly Hills, CA 90403
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Lloyd Greig
9201 W Sunset Blvd, Suite 708
West Hollywood, CA 90069
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David Kline
10309 Santa Monica Blvd, Room 300
Los Angeles, CA 90025
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Betty Lee
Lily Lee
Naomi Suriel
8641 Wilshire Boulevard, Suite 102
Beverly Hills, CA 90211
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Howard Mandel
10309 Santa Monica Blvd., Suite 300
Los Angeles, CA 90025
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Dr. Jason Rothbart
10309 Santa Monica Blvd., Suite 300
Los Angeles, CA 90025
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Dr. Jessica Schneider
10309 Santa Monica Blvd., Suite 300
Los Angeles, CA 90025
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And I second the vote for Diane Dawson, although she has a 10 week old baby, so I don't know when she'll be back to her midwifery work, but possibly by March :)
Good luck and happy birthing!