“Did you go and pick up your daughter yesterday?” the man said to her mother

Reported speech
“Did you go and pick up your daughter yesterday?” the man said to her mother.
Cho mình hỏi làm như vầy có đúng không: The man asked her mother if she went and picked up her daughter the day before.
Vì The man asked her mother nghe rất ngượng luôn í (her mother là mother của đứa con gái mà)