Changing biological parents details to those of adoptive parents after adoption of a child

We have recently adopted a relative child in punjab (age 6 weeks) after his biological mother suffered a brain hemorrage during birth and is not able to care for the child. We completed a ceremony of adoption as per customs and in the presence of witnesses (village elders). We also had the adoptiion deed verified and registered by the Sub registrar in Amritsar. What is the process of amending the original birth certificate to now reflect the details of the adoptive parents? Will taking a copy of the registered adoption deed and original birth certificate suffice or will we require an order from the court. We are also in the process of applying for a declaration to the court to verify that the adoption and deed is valid and has taken place legally under the provisions of HAMA. (which is also a requirement by UK authorities) Can someone please advise what the process is and what form of words will be required for the application. Thanking you in advance Concerned parents of a blessed child