I understand the origin of the word coptic just fine, but the religion did in fact spread beyond the boarders of Egypt, due to roman persecution. Specifically to regions of turkey.
Oh I know we have been persecuted more than many other churches, Orthodoxy and Coptic specifically is one of the main churches as derived from the actual apostles. My family can trace direct descendancy to one of the first Coptic popes.
We are persecuted still today by the muslim population in Egypt, they come and burn down our monasteries just because they don't like the monks being there, even though all they do is help the poor in the region. I am fully aware of religious intolerance towards Christians in the area. I am fully aware of middle eastern history, and of the ethno cultural relations, as well as our history with Turkey...oh I know.
We have been pushed out globally because of this, and because of the persecution this is why in 20 years, the Christian/Muslim ratio in Egpyt has gone from 1/4 to less than 1/10. I am sorry to state the obvious, but the fact is Coptic Christians are true descendants of the Egyptians, the muslims came in mostly with the start of the Turkish invasion of the Ottomans. We never used to inter marry and really do not much to this day.
Here for you though, is the history of Christianity in Turkey, as you can see there is no mention of Coptics in Turkey. Maybe ironic for a few reasons. But yes we have Churches all over because we have left Egypt and settled all over the world, perhaps due to persecution or just because we have moved and established families elsewhere, and yes we do inter marry with other Christians, but we are Egyptian, this I am certain of.
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Turkey
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Christianity has a long history in Anatolia (now part of the Republic of Turkey), which is the birthplace of numerous Christian Apostles and Saints, such as Paul of Tarsus, Timothy, Nicholas of Myra, Polycarp of Smyrna and many others. Two out of the five centers (Patriarchates) of the ancient Pentarchy are in Turkey: Constantinople (Istanbul) and Antioch (Antakya). Antioch was also the place where the followers of Jesus were called "Christians" for the first time in history, as well as being the site of one of the earliest and oldest surviving churches, established by Saint Peter himself. For a thousand years, the Hagia Sophia was the largest church in the world.
The Assyrian and Armenian peoples have an ancient history in south east Anatolia, dating back to 2000 BC and 600 BC respectively, both of these peoples were Christianized between the 1st and 3rd centuries AD. Similarly, the Greeks of western Anatolia and Georgians of the Black Sea region have histories dating from the 20th centuries and 10th centuries BC respectively, and were also Christianized during the first few centuries AD.
These ancient Christian ethnic groups were drastically reduced by Genocide during and after World War I (see Armenian Genocide, Assyrian Genocide and Greek Genocide) at the hands of the Ottoman army and their Kurdish allies.
Today the Christian population of Turkey includes an estimated 45,000 Armenians[2], 35,000 Assyrians, 3,000–4,000 Greek Orthodox[3], and smaller numbers of Bulgarians, Georgians, as well as Turkish and Kurdish Protestants.