so did some digging based on the names and short blurbs
Pyke;
mining, Pyrite "Fools Gold"
Arrastra;
a mill used in metalurgy, usually for grinding and pulverizing gold and silver ore, an animal or human would be what turned the mill, so given she is a faunus I want to say she is bovine due to the spots on her face
Asher;
Mora looks like it could either be "Blackberry", or about a time delay like in a stanza and has a connection to the Greek work "Chronos" ("Time"). Asher could draw from "Ash" (this along with "Blackberry" gives us his colors), but could also come from biblical text and means "Happy" (even though he looks like sour grapes)
Fenix;
Fenix and Nemean both give us a color in his design, dark red (Fenix) and gold (the color of the Nemean Lion's impervious hide. I say he is Herculeas because he his mainly a noble and loyal man, but it sounds like he has a Hulk side and Hercules got his legendary labors because was put into a rage and killed his own family.