Change in child name after filing for I-485

I am a GC holder and had included name of my wife and child on my application [wife-applied together, child at I-140 stage - time of birth].
Due to some metromonial issues, I went ahead with my GC proccessing through Embassy and my wife and child did not process at the time.
During this time, my wife changed name of my child, unknown to me. However she informed me of the change via court. Then, I submitted my child's paperwork with original name as the name was disputed by myself in the court.
My child's paperwork is also filed for I-485 with original name.
Is it possible to go back now and change child's name to the current [changed] name?
Are there any bad implications to my GC holding as a result of this? Please advise.

I am a GC holder and had included name of my wife and child on my application [wife-applied together, child at I-140 stage - time of birth].
Due to some metromonial issues, I went ahead with my GC proccessing through Embassy and my wife and child did not process at the time.
During this time, my wife changed name of my child, unknown to me. However she informed me of the change via court. Then, I submitted my child's paperwork with original name as the name was disputed by myself in the court.
My child's paperwork is also filed for I-485 with original name.
Is it possible to go back now and change child's name to the current [changed] name?
Are there any bad implications to my GC holding as a result of this? Please advise.