Corrected Card for a Noncitizen Child 
If you legally change your child's name because of adoption, court order or any other reason , you need to tell Social Security. If your child is working , also tell your child's employer. If you do not tell us when your child's name changes , it may : Delay your tax refund or your child's refund ; and Prevent your child's wages from being posted correctly to your child's Social Security record, which may lower the amount of your child's future Social Security benefits. Important You must present original documents or copies certified by the agency that issued them. We cannot accept photocopies or notarized copies. All documents must be current not expired. We cannot accept a receipt showing you applied for the document. 

What original documents do I need? 
Immigration Status To prove your child's U.S. immigration status , you must show us your child's current U.S. immigration document, such as : Form I-551 Lawful Permanent Resident Card, Machine Readable Immigrant Visa ; I-766 Employment Authorization Document, EAD, work permit ; or I-94 Arrival / Departure Record or admission stamp in the unexpired foreign passport. If your child is an F-1 or M-1 student , we must see your child's I-20 Certificate of Eligibility for Nonimmigrant Student Status. If your child is a J-1 or J-2 exchange visitor , you must see your child's DS-2019 Certificate of Eligibility for Exchange Visitor Status. Work Eligibility In general , only noncitizens who have permission to work from DHS can apply for a Social Security number. If you are a foreign worker , we only need to see an I-94 Arrival / Departure Record or admission stamp in the unexpired foreign passport, showing a class of admission permitting work. Some foreign workers must show their I-766 Employment Authorization Document, EAD, work permit from DHS. If you submit evidence of lawful work - authorized status for your child along with evidence of name change , we can issue your child a co

user: I need to obtain a new card for my son, but he's not a citizen.

assistant: Are you obtaining a new card because of a legal name change?

user: Yes, his last name has changed due to a court order.

assistant: To obtain a new card with his new legal name, you need to contact Social Security.

user: He is currently working part time. Do I need to contact his employer?

assistant: Yes. His employer should also be notified of the name change.

user: Does it matter that he is a foreign worker?

assistant: No, but we will need to see his I-94 Arrival/Departure Record or an admission stamp in the unexpired foreign passport showing a class of admission permitting work.

user: What if he's not authorized to work?

assistant: In this case, we can change his name in our records, but he won't be able to receive a new card.

user: I don't have an identity document with his prior name on it. Can you accept other documents?

assistant: Yes, we may accept an unexpired identity document with his current name on it, as long as we can establish your son's identity in our records.

user: Will the new card have the same number?

assistant: Yes, your son's current name will be reflected on the new card, but it will have the same number.