Then, her Green Card will be in her maiden name. I would consider just waiting until the N-400 for a name change, if desired. As I said, my wife never changed her name at all. It has made things a LOT smoother considering her home-country documentation (passport, foreign investments, etc) Here, in the US, she has gotten a military dependent ID card, Texas Driver's Licence, Naturalization Certificate, US Passport, Tax documents, US financial documents, etc. all in her maiden name......never had an issue at all.