For breeding and threads, to keep everything more organized, there should be certain pages in the hatchery that you can name and move hatchery pets to.
One page could be Breeding Project Offspring or something, and you could move all your breeding project offsprings there and so forth. I think it would help everyone so stuff would be easier to find and do.
Or if you have a breeding thread, you could put all those offspring in one tab in case you put forget one or something.

This would be so helpful!