You are holding shares in the physical form and will need to update KYC with the respective companies to convert these to the demart form. This includes updation of address, signature, contact details, Etc. You need to verify whether the companies, whose shares you are holding, are trending in any of the exchanges like the BSE or NSE. It might be possible that these companies have merged with other companies or the names of the companies have changed. You need to verify this through the website of the BSE or NSE. For the share held jointly with your mother, you need to submit the death certificate of your mother to the company so that it can remove the name of your mother from their records and issue the share exclusively in your name. There is another documentation formality, called transmission, which you need to fulfill for such a transfer.

Since your name in these shares is different from that in your PAN and Aadhaar records, it will require additional formalities, If there is a minor mismatch, an affidavit may suffice to update your name in company records. If, however, there is a major mismatch, the company may ask for a notification in a gazette published by the central or state government to prove the change of name. You need to follow all the formalities meticulously by approaching the register of respective companies. The details of the register can be found from the websites of the companies or the stock exchange. if you were not regular in depositing the dividend, then your shares might have gone to the investor education & protection fund(IEPF), a government-managed fund. In such a case, you may have to deal with the IEPF authorities as well.