You don't actually live in Vatican City do you? ? ?

Are you a priest?!

They certainly didn't have to originate in Anatolia for them to migrate to Iran and India.  The Zend Avesta, originally written in an early form of Iranian, makes reference to an original homeland of the Aryans, (Airyas in Avestan) as Airyanem Vaejah, the "abode of the Aryans" locate along the ancient course of the Oxus (modern, Amu Darya), roughly about the region of the classical Iranian-speaking country of Chorasmia.  In addition to the Airyas, the Avesta made reference to Sairimas and Turas located west and east of the ancient Airyas, respectively.  The Sairimas are seen as the classical Sarmatians, and so were also Iranians.  The Turas (or Tiuryas) are seen as eastern Iranian nomads, perhaps the Sakas.  In either case, although all would be considered Indo-Iranians, only those sedentrary populations located south of the Aral Sea were considered "Aryans". 

The name was certainly used amongst the Medes and Persians.  Herodotus relates that the original name of the Medes was the "Arians".  Darius wrote that he was an "Aryan, of Aryan seed", and even referred to the Persian language as "Aryan".  The languages or dialects of the Iranians of Iran were apparently referred to as collectively "Aryan".  King Kanishka of the Kushans referred to the language of the Bactrians as "Aryan". 

Now, the region said by the Zend Avesta to be the original "abode of the Aryans" coincides with the appearance from Kazakhstan of a central Asian culture known as the Andronovo Culture (c. 1400 BC) and which locally is known as the Tazagabyab Culture.  It seems no coincidence that the region possessed by the Bronze Age Andronovo Culture was in historical times the abode of Iranic speaking tribes such as the Sarmatians, Issedonians, Massagetians, and Sakas, as well as south of the Aral Sea by the Chorasmians, Sogdians, and Bactrians.

We can still go further back.  The origin of the Andronovo Culture was in the Yamnaya Cultural Complex (c. 3600-2200 BC) of the Pontic-Caspian stepee.  The latter was the last phase of the Kurgan tradition, begun about 4500 BC and perhaps the original culture of the IE's.  We can then perhaps see in the eastern portion of the Yamnaya Culture the origin of the proto-Indo-Iranian speakers. and the proto-Aryans in particular. 

While some will view the Aryans as a myth, just from ancient Iranian sources do we find that the name does take on a cultural and linguistic identity.  Aryans were an Indo-Iranic speaking sedentary (non-nomadic) population.

Tocharian isn't really ancient (well, by Chinese standards).  Though extinct, it is closely tied to several nomadic languages in both mongolia and East-turkistan.  For one, the Uyghur people, the main native East-turkistanian, lived in East-Turkistan since before Tang dynasty.

Tocharian may very well be ancient.  It possesses certain archaic characteristics (language relics) which had since been dropped in other IE languages.  Being related to western IE languages, its location in the Far East was unexpected.  If the Kunlun Mts. were already known as such by the Chinese as far back as about 1000 BC, when the king of Chou went west to visit the Queen of the West, than Tocharian was already present, since "Kunlun" comes from the Tocharian word klyom, meaning "heavenly". 

As for the Uyghurs, they essentially migrated into Xinjiang by AD 840 and linguistically supplanted Tocharian in favor of their Turkic language.  There is the suggestion that at a more ancient period of time, the Uyghurs, being a light-skinned Europoid population, perhaps spoke an IE language, and there is some archaeological evidence to suggest that the culture of the most anciently known region of their habitation probably came from the west.  The only thing that is lacking is proof that they oiginally spoke an IE language. 

Actually, Uyghur is not one race of people who migrated to its current location.  The word Uyghur itself means United.  The origin of Uyghur can be traced back to the race ¨f (Ti), records of them go back to Chou dynasty.  In fact this is the race that invaded Chou and started the Eastern Chou dynasty.  The race is called Til or Tingling (Which means River in the Til's language).  In Han dynasty they established °ª¨® (GaoChe).  After the fall of GaoChe, the rest of the two tribes combined and call themselves Uyghur (Unite).  During the ¦è¬ð³Ö (Xi Tujue, Western Koturks) rule,  Uyghur and several other tribe allied against Chula Qaghan to stop the opression.  Uyghur is the strongest of the tribes and the rest was assimilated.

Also, I am not sure if ±X±[ (Kunlun) comes from the word klyom.  It is far more likely to come from the word Qurum (Khurum or Kurum) which means cloud or Smoke.

Tocharian is widely used in the 5th century.  Whether it was used before, I don't know.  Please tell me, I'd like to know.

Don't you have to be dead five years before the process of sainthood can begin??

According to Zhang Qiang, the Yuezhi "originated" in the region between the Qilian Mts and Dunhuang.  Now the name "Qilian" is used in ancient Chinese sources to refer to various mountain ranges including the Kunlun Mts.  The name Qilian, itself can be traced to the Tocharian word klyom. 

We do have manuscripts dating as far back as the 3rd century AD.  In classical western geographies we have the name Tocharian in various different forms as placenames in "Serica", (i.e. in Xinjiang) in the 2nd century AD.  The name is that of a people which subjugated Bactria by about 130 BC.  The beginning of this migration can be put in Kansu by about 165 BC.  Between Kansu and Bactria were various oasis cities whose populations were Europoid.  The earliest of these Europoid "Xinjiang mummies", that of the "Lady of Loulan" is dated to about 2000 BC.  Western Xinjiang formed a distinct linguistic bloc comprised of at least three Tocharian languages, including Tocharian A, Tocharian B, and Krorianic (from Kroraina, the Tocharian name of Loulan).