Yes, there actually is a Web site called CUTE THINGS FALLING ASLEEP.
Found via CuteOverload.
Specifically ... this post.
And why was I over at CuteOverload? Well because Jessamyn was tweeting that her Mom had never seen CuteOverload, and I said outloud (in a two-person office) that not everyone's Mom has seen CuteOverload. And his nibs was all, "What's CuteOverload?" and things went from there to there to there.