A foreign-born person’s legal name is the name shown on the presented immigration
                  document (includes hyphens and apostrophes).
               
               The only time you may process an SSN application in a name that does not agree with
                  the name shown on the immigration document is if the person's name was legally changed
                  after the immigration document was issued. In these situations, the legal name is
                  the name shown on the evidence of the name change. For information on evidence of
                  a name change, see RM 10212.010.
               
               
                  
                     NOTE: For foreign students (F-1 and M-1) consider the name on Form I-20 the legal name.
                        For exchange visitors (J-1), consider the name on the DS-2019 the legal name. For
                        additional information see RM 10211.295 and RM 10211.375.
                     
                     
                   
                
               Name on immigration document and other evidence for an SSN are different
               When the name shown on the immigration document differs from the name shown on other
                  evidence submitted for an SSN, process the SSN in the name on the immigration document
                  as long as the name can be derived from the other evidence (e.g., foreign passport).
                  Different versions of the name shown on other required documents must be shown in
                  the other name fields in the Enumeration system following RM 10205.130.
               
               If the individual has a single name, see RM 10205.130B for instructions on entering the name shown on the immigration document in the “Other
                  name used by number holder” field.
               
               If the required documents show clearly different names, do not accept the evidence
                  to process the SSN application. In these situations, the applicant must submit SSN
                  evidence showing the same name or submit evidence of a name change after the immigration
                  document was issued per RM 10212.010.