if he died at home and his death was sudden, he would have had to have a post mortem (by law) hence he would have been taken to the mortuary in the area in which he lived, once the body is removed from the mortuary a funeral director has to sign the mortuary book, so he is tracable via a funeral director, and if he was cremated a record is kept at the crematorium, who the funeral director was and the date of cremation and whether the ashes are to be retaned for collection by the funeral director.
if there was no money available and there was no one to arrange his funeral and he died at home, the local council will arrange the funeral and expences, if he died in hospital then the hospital bereavement department arrange the funeral