I am not interested in your Pan turk version of history.
Since the creation of Persian empire, Kurds which are a Iranic people and who belong to the Iranian plateau have been native to the Iranian mainland.
1800's Iran included parts of what is now Iraq and some parts of Turkey, those days the Kurds that were living there were the original inhabitants of those lands and belonged to the Iranian plateau. After slow break up of the Persian empire up to the 20th century these Kurds slowly got dissolved in artificial made up countries like Iraq,Syria etc
Iran 19th century (real map of Middle East before the British started creating artificial countries in the region) :