One of my family members really likes Ameraucanas and EEs, and just the word Ameraucana too (it sounds round and fluffy). They don't care whether it is purebred or not, as long as it has a beard and muff.
My chickens are named very simply after their breeds:
Dominique = Dominique
EE = Ameraucana
Speckled Sussex = Sussex
Russian Orloff = Orloff
CA White = Whitey, a.k.a. Whitey Whitey
Here are some chicken names I like. I posted a similar list on another thread a few days ago. They may not suit everyone's taste, but here they are!
My favorite vintage-sounding names for pullets/hens: Arabella, Araminta, Betty, Elowen, Esther, Frances, Gladys, Lena, Leola, Lottie, Mabel...