Speckled Sussex - mine is named Suzie the Speckled Sussex; other thoughts would be to go with location - top names of babies is East Sussex AMELIA, OLIVIA, ISLA, MILLIE, DAISY, CHARLOTTE, EVA, ROSE, MATILDA, LUCY or boys FREDDIE, JACOB, HARRY, TEDDY, JACK, REGGIE, MAX, NOAH, JOSHUA, THOMAS. I tend to go with initials or how they look, so would likely have s names - Sally, Silly, Spike, Spotty, Speck (I like), Sully, Sara, Sassy, Sleepy, Sneezy, Sexy, Supper
True whiting blues - Blue, Bonnie, Barbie, Buddy, Belle, Bully. Or go with the breed's history they apparently were developed by Dr. Whiting who graduated from the University of Arkansas - Tusk, Razerback, Clinton, Hillary, Bill.
Ameraucanas - Amy, Audrey, Ange
Mystery chick - Agatha, Christie, Arthur, Conan, Doyle, Mary Higgins Cluck, Kryptos (an old greek word for secret or hidden), Amelia, Earhart
Ayam Cemani - I'd likely search for an Indonesian name - likely with an A or a C, or just call it Black Beauty, Blackie.