Ataturk was granted that surname in 1934, 9 years after the country of Turkey had been founded. "Turkey", and Turks as a whole had existed for centuries before Ataturk was even born.
Georgia is more commonly believed to have been named after the Persian term for wolf "Gurgan". If you have additional countries named after legendary figures please tell me and I'll happily add them to the quiz.
Also there's various other countries named after legendary figures along the same lines as Bang, Nor, and Rus.