The child is the first for Lima and her husband, NBA star Marko Jaric.
Wood and his wife separated in 2008 after his widely reported relationship with a young Russian cocktail waitress.
Angelil said he and his wife plan to keep trying for another child.
The former American Idol winner has yet to speak out about her new romance but she opens up during the thanky ous on her new CD
"This story is entirely untrue," Martin's representative told Usmagazine.com.
"I don't want to get bored. I can bore out pretty easily," she says.
The National Enquirer quoted Nicole Forrester, a stripper who goes by the name of Delilah, as saying she had sex with the actor in an Atlanta hotel room.
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