Only one original Thai death certificate is ever issued
And it goes to whoever reports the death.
The Thai death certificate is the document every bank, land office, insurer, embassy and foreign probate registry will ask to see. Without it, nothing moves.
The UK government states that the district office issues only one original, to the person who reports the death, and that obtaining a duplicate requires advice from a Thai lawyer or funeral director. The Australian government puts it more bluntly: once the original has been issued, a duplicate is very difficult to obtain, and next of kin will need to engage a Thai lawyer to request one.
What if the wrong person registered the death?
The person who registers a death is often whoever happens to be there. A neighbour, a friend, a hospital administrator, a funeral director.
The person who needs the certificate is whoever has to deal with the bank, the insurer, the landlord and the estate. That may be someone else entirely, possibly in another country, possibly not on speaking terms with the first person.
If those two are not the same person, or not cooperating, the estate stops until a lawyer and a district office can be persuaded to produce another copy.
What can you do in advance?
Decide now who would register your death, and tell them.
Write it down where it will be found. Not in a will nobody can locate, but on a single sheet with your passport details, your embassy's contact number, and the name of the person who should be handling this.
Expect to need translations. The certificate is in Thai. Foreign institutions will want a certified English translation, usually legalised by the Thai Ministry of Foreign Affairs. Order several copies while you are ordering one.
Do not assume you can get another. You may be able to. It will cost you a lawyer and time you do not have.
Can you get a duplicate Thai death certificate?
Neither government says a duplicate is impossible. Both say it is hard, and that you will need professional help.
Sources: the FCDO's guidance for British nationals on deaths in Thailand, and the Australian Embassy's page for Australians.