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.
Bison generally are not castrated..
A castrated poultry is called a pullet.
When castrated he will be called a steer no matter how young.
A non castrated male cat is called a tom
A male goose is called a gander, a female is called a goose, and a baby goose is called a gosling.
Castration involves removing the testicles, since women have none to begin with a woman cannot be castrated.
A castrated male cat is usually just called a "neutered" or "fixed" male.
A female is a "goose" or "hen". A male is a "gander". And a baby/young goose, whether male of female, is a "gosling".
A castrated young ram or young buck is called a wether.