about something that you have no method in law or history to establish .
I might be wrong, but isn't this an argument by incredulity?
If the event was a natural one you wouldn't have a problem trusting the three accounts.
The fact that three people have recorded the same core details but added their own extra ones is exactly what you would expect of a historical event, since three people cannot view it from the same angle; they will each record slightly different details.