If you think about it, the reason that I don't reply to you in Turkish is that I don't know the Turkish language, so I am not what you may call Hemshinli, but I am a Hamshetsi nevertheless . So far so good?

I was born in Moscow, Russia. My father and his parents were born in Abkhazia. My paternal great-grandparents come from Samsun area (Ladik, Konukluk). My grandfather, although he was born in Abkhazia, learned to speak Turkish fluently, because it was a language of international communication in Abkhazia at some point. He knew much more about culture that Homshetsi Hye (Armenians) brought with them from Turkey (a land we collectively refer to as Dachgastan). Hamshetsi in Abkhazia and Russia are almost all nominally Christian. Some, of course, atheists, agnostics, since Soviet power discouraged any religion as much as possible. So that's my background.
I know we had some older women in our villages wearing headcovers, although not as nice and colorful as Pushi. They just called them "lachag". Younger women never wore anything on their heads. But we are still part of Hamshen culture and heritage, although our great-grandparents were removed from Hamshen, as historians say, several centuries ago, then they settled in Canik (Samsun), Ordu, Trabzon and other areas.
That's as much as I can tell. Whether we are ultimately coming from Iran is a questionable statement. I think we come from Armenia some 1000 years ago, but before that I can't even imagine. By the way, are you a Turk or Hamshetsi?