Thanks for everyone's support for both the old suggestion and the new!
Good points, Void! As for the way it would function, I envision it just saying that the user has 0 hatches left, but that would completely be up to staff if this is implemented. I imagine the hatch page looking something like the Global Rancher Log. Users would be able to choose how many pets to see on the page as well as filter by creatu species, color, mutant status, and age. Information would be shown for the date of the hatch, the image of the creatu, its species and color, mutant status, how many days until it is released (with three or less days being red and bolded), and a space to name the pet.
I'll update the main post with this information.