1) i presume father in law died intestate . obtain succession certificate from district court in name of the legal heirs for the shares
2) on basis of succession certificate and death certificate apply for transmission of shares in name of legal heirs
3)Time limit for issue of share certificate on transmission (Section-56(4)): Every company, unless prohibited by any provision of law or of any order of any Court, Tribunal or other authority, shall, within One month deliver, the certificates of all shares transmitted after the application for the registration of the transmission of any such shares received.
4. Time Limit for Refusal of registration of Transmission:Provisions related to Refusal of registration and appeal against refusal is given in Section 58 of the Companies Act, 2013.Power of refusal to register transmission of shares is to be exercised by the company within thirty (30) days from the date on which the intimation of transmission is delivered to the company.
5. Time Limit for appeal against refusal to register Transmission by Private Company:As per section 58(3), the person who gave intimation of the transmission by operation of law,may appeal to the Tribunal against the refusal within a period of thirty (30) days from the date of receipt of the notice from the Company or in case no notice has been sent by the company, within a period of sixty (60) days from the date on which the intimation of transmission was delivered to the company.