gag54611

This advice is not clear in what it is proposing, so just in case there is confusion, here is my suggestion.
Use your new name and signature on the I-485, I-131, I-765 and any other documents that you submit. This way you will get your EAD and green card with your married name. Afterwards, you can then send your passport to your country's embassy for updating to your married name.
G