• Where a will was made but does not name an executor or where one died without making a will;
• Persons connected to the deceased by marriage, such as the wife, or family members of the deceased. Priority is given to the widow/widower followed by persons entitled to the greatest share of the deceased estate including children who are above 18 years.
• Administrator general can apply for letters of administration.
• A creditor when no persons connected by marriage or consanguinity to the deceased are available. 

Note: Where a will was made but the executor was not named, the family members must elect a representative (s) to distribute the deceased property according to the will. And it is the representative that must apply to the court for letters of administration with a will annexed.