Dear Cynthia, There were Sanskrit speaking rulers in Babylon, who emigrated from Central Asia around 1700 BC - a good source is Toynbee's 'A Study of History', but please see the extract from Wikipidea below. This is the time when such people migrated towards India as well, the first wave. It is curious that 'upper' caste Hindus who were once proud they were Aryan immigrants have now started to distance themselves from this fact. I noticed this change in attitude in the 80's, when the Ram Janambhoomi issue was cooking. The charge levelled was that Muslims were 'foreigners, invaders'. It did not take long for people to point out that brahmins were the original foreigners and invaders. That I think did the trick, now they would like us all to believe that the Aryans originated in Kumbakonam or Benaras! Shiva Shankar.
Here is an extract from Wikipedia about the Mitanni (the stuff in brackets  are my comments):
Some theonyms, proper names and other terminology of the Mitanni exhibit an Indo-Aryan superstate, suggesting that an Indo-Aryan elite imposed itself over the Hurrian population in the course of the Indo-Aryan expansion. [This is what happened here as well!] In a treaty between the Hittites and the Mitanni, the deities Mitra, Varuna, Indra and Nasatys (Ashvins) are invoked. [!!!] Kikkuli's horse training text includes technical terms such as aika (eka, one), tera (tri, three), panza (pancha, five), satta (sapta, seven), na (nava, nine), vartana (vartana, round). Another text has babru (babhru, brown), parita (palita, grey), and pnkara (pingala, red). Their chief festival was the celebration of the solstice (vishuva) which was common in most cultures in the ancient world. The Mittani warriors were called marya, the term for warrior in Sanskrit as well.
Sanskritic interpretations of Mitanni royal names render Shuttarna as Sutarna ("good sun"), Bharatarna as Paraterna ("great sun"). .... etc etc.
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