How to change child's name during naturalization

[lc973nj]

I was naturalized as US citizon recently. My child (10 yrs old, born abroad) became US citizon automatically. I understand that I can file N600 or directly apply US passport for her.

My question - is there a process that I can change my child's name legally as part of her naturalization? (unlike N400, N600 form does not have a section for name change)

If we follow the standard name change (for anybody) through the state court, it takes several months....

Please advise
Thank you

[immihelp]

Even in N-400, even though there is a section for name change, it is not automatic. You still have to go through long procedure.