Your parents must be die-hard fans of the
Lord of the Rings books written by J. R. R. Tolkien. Or used to be, since they appear to be deliberately vague about the origin of your name, what with them only being willing to admit that the name is made up and absolutely nothing beyond that.
In the books, Quenya is one of several Elvish languages. It looks like the language was named after those who originally spoke it, namely the Quendi. Their name translates as "speakers" or "those who speak with voices". So basically, I guess you could say that your name roughly means "language of those who speak with voices".
Sources used:- Quenya on Wikipedia:
https://en.wikipedia.org/wiki/Quenya (in English)
- Quenya on the Encyclopedia of Arda:
http://www.glyphweb.com/arda/q/quenya.php (in English)
- Quendi on the Encyclopedia of Arda:
http://www.glyphweb.com/arda/q/quendi.html (in English)
Forchta in biuonga quamon ouer mi, in bethecoda mi thuisternussi.
In ic quad: "uuie sal geuan mi fetheron also duuon, in ic fliugon sal in raston sal?"