Thank you to the multiple people who suggested naming the chickens after Menolly's fire lizards! They are the clear winner, and are exceptionally appropriate because my step-mom gave me a copy of Dragonsong when I was a kid, which was my introduction to SF. The golden chicken will be Beauty, the Ameraucanas will be Auntie and Uncle because they lay blue-green eggs, and we'll figure out the rest later.
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