While processing the green card applications, can my wife file under my last name?

Generally, the USCIS considers it satisfactory for a foreign national woman to use her name as shown on her birth records, or to adopt her husband's last name as her own. Where it may be desirable to use an alternative last name, such as a hyphenated name containing the wife's original last name with her husband's last name, the couple could consider applying for a name change through standard state law processes. In Georgia, that means filing a petition in the Superior Court of the county where the woman resides. Some immigration law firms, including mine, offer legal services on a "flat fee" basis so that a client will know the total expense from the very beginning, and a few immigration law firms, including mine, offer an initial consultation free of charge.