You can't castrate a female goose. They have no testicles. A female goose is called a hen
There is no name for a castrated male duck. An intact male duck is called a drake while a female duck is called a duck.
A castrated female dog is called a spayed bitch
A castrated young horse is called a gelding.
A castrated elephant is called a musth.
Bison generally are not castrated..
A castrated poultry is called a pullet.
A castrated female pig is called a gilt.
When castrated he will be called a steer no matter how young.
A castrated male swine is called a barrow.
A non castrated male cat is called a tom
A castrated boar is called a barrow.
A castrated male cat is usually just called a "neutered" or "fixed" male.