"Our baby, in particular, we think is allergic to sleep, so... we joke that she thinks she's protecting us from sleep monsters... The trick I try to use is that Baby Einstein (puppet) stuff, but for me, that's like horse tranquilliser... I could go down (fall asleep) on a lit stove!" New dad Ryan Reynolds is struggling to catch up on his sleep after welcoming his first child with wife Blake Lively in December (14).