If you want to you can include a story for how the Argonian was given the name.
here is mine. Dragon-Without-Wings
The Argonian didnt have a name and he was Dragonborn. After speaking to the greybeards, they called him Ysmir, Dragon of the North. The Argonian said "But I am not a Nord." The greybeards told him it is a title given to a few others. The Argonian didnt like it so the greybeards watched him practice shouting and Arngeir said "Dragon... Without... Wings. The Argonian looked at Arngeir and smiled. He then used that as his actual name.