If a horse is named Horseradish and a dog is named Doggerel and a cat is named Catnip, what’s the name of the parakeet?

If a horse is named Horseradish and a dog is named Doggerel and a cat is named Catnip, what’s the name of the parakeet?

Parsnip
A parakeet is also called a Budgi so I was thinking Bud, but I like Parsnip better.
Great name for a pet 😂