Not sure about cute names but here are the names of some of ours.
Sam, Cas, Dean, Gabe: The oldest roosters.
Chuck Norris: Youngest rooster, younger brother to the above, only rooster in a clutch with 9 sisters!
Bob: The big daddy of all our flock, (R.I.P)
Mama Sue: The big momma of our flock
Stephano: The name of nearly every single hen in our flock because they all look the same! ^.^
Legs: The random (breed unknown) hen who adopted us when she showed up on our property. Sticks out like a sore thumb in the crowd.
GoldWing: Little golden chick
SilverWing: Little silver chick
Jet Li: The youngest outside chick whom has no siblings and finds joy in dive bombing the roosters! Even though he's only 1 month old!
and, of course, Sp00n. The indoor chick whose just not as sharp as a fork.