Select the indicated animal's profile. Then, select the pencil icon, and rename the animal to the listed case-sensitive name. After an animal is renamed, you can change its name to whatever desired, and it will still retain its new appearance.
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Chocolate Bunny
Select the female rabbit's profile, and enter "Eostre" as a new name.
Red BadgerSelect the male badger's profile, and enter "Madger" as a new name.
Yellow SquirrelSelect the squirrel's profile, and enter "Peekaboo" as a new name.