San Jose office doesn't do name change at the Interview anymore. In fact, it's been over five years since the service has been discontinued. You have to apply for a name change at the supreme court located by the county jail on Hedding St. in downtown San Jose. (Their office is on First St near Guadalupe)
That's not true. One can get a name change as part of naturalization at ALL USCIS Offices. USCIS will process a name change as part of an N-400. The regulations have been in place since 1991, and the process has been the same for over 20 years. USCIS (INS before then) always handles the paperwork for the applicants. That has not changed. The only real difference is who presides over the Ceremony: a USCIS Officer or a Judge.
AFM Chapter 74 Examination of Form N-400. \ 74.2. Part-by-Part Discussion of Form N-400 Data.
(a) Part 1: Information About You .
(2) Review of Applicant’s Information: (Heading amended December 1, 2008, AD09-01)
1. Name (Family, Given, Middle Initial) .
(B) Name Change .
If the applicant wants to change his or her name as it will appear on the certificate of naturalization, then the applicant must petition the court for a name change. You should assist the applicant with preparing the name change petition at the examination. However, USCIS does not have the authority to grant any name changes. See 8 CFR 337.4 and 8 CFR 338.2.
§ 337.4 When requests for change of name granted.
When the court has granted the petitioner's change of name request, the petitioner shall subscribe his or her new name to the written oath of allegiance.
[56 FR 50500, Oct. 7, 1991]
§ 338.2 Execution in case name is changed.
Whenever the name of an applicant has been changed by order of a court as a part of a naturalization, the clerk of court, or his or her authorized deputy, shall forward a copy of the order changing the applicant's name with the notifications required by part 339 of this chapter. The Certificate of Naturalization will be issued to the applicant in the name as changed.
[56 FR 50501, Oct. 7, 1991]