The Dragonborn didn't come from Akavir, the Blades did. Alessia wasn't the first Dragonborn, for she wasn't truly a Dragonborn in the sense of a Dovahkiin. A more precise term would be "Dragonblooded". Not to mention the fact that Alduin and the other Dragons knew what a Dragonborn was, and even had their own word for it, "Dovahkiin", when they had been banished/dead thousands of years before Alessia was even born. So she obviously wasn't the first. Miraak was obviously a Atmoran/Nede.
No dragonborn has ever come from Akavir; the reason the tsaesci came to Tamriel in the first place was to find a dragonborn, whom they found as Reman Cyrodiil.
The Tsaesci didn't come to Tamriel to find a Dragonborn, they came to conquer. You're probably thinking of the human Akaviri, whom were wiped out by the Tsaesci on Akavir.
I have now crazy (and Stupid) theory: What if Atmora and Akavir is that same place ! Nords cannot go back to Atmora becouse the whole continent have moved more to the south-east.
No. Atmora is to the north of Tamriel. Over the years, it became colder and colder, until it was nothing more than a frigid wasteland so horrendously freezing cold that not even the cold-resistant Nords could live there any longer. Atmora is still there, it's just too cold to be inhabitable. It's essentialy the Antarctica of Tamriel.