Sounds like possibly a Polish hen or a Silkie
Yes,Roosters have been known to breed with any kind of hen.
If the tail feathers have dark horizontal stripes, it's probably a Blue Jay.
they use to wear earplugs and feathers sticking out their head.
Check a field guide for "tufted titmouse".
If you lift the feathers on the sides of their head, you will see a little holem kind of bony...this is the ear
i would say it is a cardinal
Down
Ducks that have puffs of feathers on their heads are various types of domestic ducks called "crested" ducks.
Soft kind of feather.
Down feathers.
It has a white breast, sparkling blue tail feathers, blue-grey back feathers, the feathers on its head makes the head look sort of cone-shaped, and its beak is black.
pigs ducks roosters