You must register a death within 5 days unless the Coroner is investigating. Registering a death is free and must be registered in the district where it occurred. You can find all the information you need on the Hampshire County Council website here.
The Council also operates a "Tell Us Once"service. This service makes things a little easier when you are coping with a death. The Tell Us Once team will notify all participating government departments and organisations of the death. This includes council housing, adult services, income support, libraries, driver and vehicle licensing agencies and passport services. This will save you numerous calls and letters to each individual department.