[answer] to the name

to respond to a name or label that has been given to someone or something

The well-trained dog will answer to the name 'Max' when called by its owner.
The horse will answer to the name of 'Thunder' when you call for it.
She doesn't usually answer to the name of 'Mary,' as she prefers to be called 'Liz.'
The cat is quite independent and may not always answer to the name you've given it.
The actor is so accustomed to his stage name that he often answers to the name 'Captain Courage' even in his personal life.