In other races, a name can be repeated.
But Argonians are named in a ceremony upon their birth. It's something very unique to each of them.
I'd believe that there's never been two Argonians with the same name in all history.
This only leaves me with the option of using one of those name generators, but I'm not sure I can trust those. Besides, Argonian names have meaning and the result in these random options could make no sense.