cote
Nest - The peacock or peafowl are forest birds that nest on the ground.
In short bushes.
It all depends on who got there first. Possession is nine-tenths of the law. Take care- if you smell a rat, there might be a stool pigeon. If it's a bird house, it should be a bird's nest. But sometimes, birds will 'fly the coop', leaving it unattended. Squirrels are rodents, too.
sticks and feather
Yes. I have been photographing a pigeon nest daily...
A hens home is called a coop, a roost or a henhouse.
The nest.
Pigeon fancier make lofts to house them. In the wild, they build nests on builduing roof tops.
The passenger pigeon (Ectopistes migratorius) is an extinct pigeon once found in North America. The homing pigeon is a domestic breed of the rock pigeon (Columbia livia) renowned for its ability to return to its own nest after being removed from it.
I would think she would start to make a nest and be busy building it just right. Pigeon is spelled "Pigeon", not pegion.
Pigeons could use a wide variation of materials for the nest. The basic material are twigs. But nest made with cigarette butt have been seen.
A chicken coop should be close to the ground, and warm. If not, you are going to want to add heating lamps so that the chickens are going to want to nest in the coop.