Name differences in mom's greencard application

[span17]

I am preparing to file for a greencard / permanent residency for my mother using Form I-130 and Form 1-485. I am a US Citizen and my mother is currently in the US.

My birth certificate has my mother's maiden name without any surname while her passport and birth certificate has her married name and surname. I do not have any supporting documents to certify/affidavit this name difference.

What should I do? Do I just go ahead and file the application with the documents I have?

Thanks for your help.