Application for correction in name of Candidate/Father’s/Mother’s/ Guardian’s name will be considered only within one year of the date of declaration of result provided the application of the candidate is forwarded by the Head of Institution with the following attested documents:
i.True Copy of Admission form(s) filled in by the parents at the time of admission duly attested by the Head of the concerned institution
ii.True Copy of the School Leaving Certificate of the previous school submitted by the parents of the candidate at the time of admission duly attested by the Head of the concerned institution. iii.True copy of the portion of the page of admission and withdrawal register of the school where the entry has been made in respect of the candidate, duly attested by the Head of the concerned institution
Rule regarding Change in name:
Applications regarding changes in name or surname of candidates may be considered, provided the changes have been admitted by the Court of law and notified in the Governet gazette 

affidavit can be attested by the first class magistrate 

Get affidavit executed by you attested  before magistrate of first class 

If the requirement is that the attestation on the name change affidavit is to be obtained from first class judicial magistrate only then you can approach an advocate for filing a petition along with the authority that the attestation to be made only by JMFC, before the jurisdictional judicial magistrate court.

You may have to be present before court on the date of hearing to swear before court in the form of an affidavit giving the reasons for approaching he court for this purpose, if the court is satisfied then the affidavit will be attested after which you can submit the attested affidavit before the CBSE. 

You can follow the procedures as suggested in my previous post. 

Contact a local advocate and proceed as per the advise rendered.

1. You shall have to submit the said affidavit affirmed before the 1st Class Judicial Magistrate.

2. Getting the said affidavit affirming before the 1st Class Judicial Magistrate is only a few hours job.

Affidavit not affirmed before the 1st Class Judicial Magistrate is not accepted by the CBSE authority for making any such change in names etc.

Dear Client,

One procedure on how to get an affidavit for your mother's correction of name in the mark sheet of the 10th class from a First Class Magistrate is: Present detailed particulars specifying the correct and incorrect name, reasons for correction attached with supporting documents like her birth certificate and Aadhaar or passport submitted on the affidavit draft to court (First Class Magistrate-the district or taluka area). You can approach the court directly or through an attorney, who will help to get the affidavit attested before a magistrate. However, remember that an affidavit issued by an SDM or Executive Magistrate will not meet the criteria set by CBSE. Hence, ensure the affidavit specifically states that it has been attested by a First Class Magistrate. After that, attach the affidavit with the rest of the documents required by CBSE for making a name correction. The process might become faster if a lawyer well-versed with the local court procedures is also involved.

Hope that this helps you to solve your problem.

- You can take help of any lawyer for the said work , as you cannot get attestation from the first class magistrate without assistance of an advocate. 

For name change the correct procedure is apply to gazette notification and paper publication