This was fun! I don't think I'd want to play it co-op because I think managing both the screens at once creates a really fun challenge, and I love all the art (I thought the picking up the baby and moving them back was soooo cute), and I also liked the use of a bird you wouldn't immediately think of for egg.
I have to ask, why does the penguin only stutter upwards instead of sliding like usual?
Anyways, good job!