If a family member dies during a dissolution proceeding, the executor of the deceased person's estate would be specifically stated in that person's Will. If the person passed with a trust in effect, the trustee for the person's estate would be specifically stated in the trust.If the person who was going through a divorce died without a Will or trust, then an interested person typically petitions the court to adminster the estate through the state's intestacy process with a request that a specific person be appointed its administrator.