I am a Turkish. maybe There is two possibilities.
1- One of your grand fathers is a Turkish.
2- According to a Turkish legend while Turks were living in Asia, for some reasons(Climate) they had began to move all over the world. Some part came through to Turkey and europe, the other part had moved through the America( That time America and Asia were close to each other and the sea had frozen. Some indian traditions are very similar to our tradition.(But that is just myth.)