Is this bad grammar in a news article?

Miss Suzie Q

New member
http://www.reuters.com/article/idUSTRE70L0AR20110122

In the last paragraph of this article it reads: "She got pregnant at age 14, but her baby died a short time later. Earlier this week on Piers Morgan's CNN show, she said she wouldn't be where she is today if she had had the baby."

I'm wondering is 'she had had the baby' bad grammar or is it this correct grammar?
 
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