Did Clint Eastwood Use A Fake Baby in “American Sniper”? [VIDEO]

By now I'm sure you are well aware of the movie "American Sniper", which has earned Academy Award nominations and some controversy.  Now, there's another interesting topic regarding a scene in the movie and it involves a little baby.

Watch this scene closely, does it look to you like Bradley Cooper is holding a real baby?  Sure, you hear a baby but this looks a lot like something director Clint Eastwood bought at a store on the way to the set.

This seems like a powerful scene, but now I'm just distracted by the "fake" baby.  What do you think?