Changing Mothers name in birth certificate

It’s a custom in many parts of India including western part where I was born(Kolhapur Maharashtra). My Mothers name too was changed (MAIDEN to NEW first name)at time of my parents marriage. However after marriage except for my grandmother everyone was using MAIDEN name + NEWSurname. When I was born my birth certificate was prepared with NEWfirst name of my mother. Fast forward to now.. All the legal documents like Passport, voter ID and Aadhar has my mothers name as MAIDEN first + NEWSurname. The only document which has her NEWFirst name is my birth certificate. At the time when my parents got married, the marriage certificate was not really the norm of the day and hence they didn’t had any. During time of getting passport, they created affidavit and got the passport done. Now my question is how can I change my mothers name on my birth certificate from NEWFirst name to MAIDEN + NEWSurname. Would just an affidavit from both my parents be enough? What would be the procedure?