Only for spouse of petitioner. Does not apply to IR-5 cases.
Per the I-130 instructions, you only need name change documents "If either you or the person you are filing for is using a name that is not the same name shown on the relevant documents" so no it does not affect things. BUT, at NVC stage, I believe your mom will have to submit her marriage certificate and divorce decree.
I use Rush Translate. But, if you want to save money, anyone fluent in both English and the document language can do the translation provided they include a certification like this:
I [typed name], certify that I am fluent (conversant) in the English and ________ languages, and that the above/attached document is an accurate translation of the document attached entitled ______________________________.
Signature_________________________________
Date Typed Name
Address