Oh! It was part of a game before you woke up, every team was given an egg and told to take care of it. We ended up naming it... Egg, not being the most creative, but it actually hatched, which we didn't expect. We took care of the... bird rat things that hatched out of it for a while before the Judge took them back.
He had a habit of hiding things in Ikki's hair, I bet there is still stuff in there, somewhere...