It's quite clear if you look at the SSA data that Qiana came before Kiana as a popular name, and therefore was undoubtedly derived from the trade name of the silk-like material. This was a computer-generated name chosen to sound elegant and have no meaning in any major language (which is one reason the u-less spelling was chosen). [noted -ed]
Actually, several names in Chinese use a Q without a U. I personally am unsure of the origins, so I make no claim on the actual origin of the name. It may very well be entirely made up.
Come on now, is this one of those ghetto names in which the parents use the name of a product that they never have been and never will be able to afford, unless their child makes it in commercial hip hop music? I can't say with certainty, as I don't know THAT much about American culture, but this sure sounds like one of those tacky names to me.
This name is silly and pathetic. It's the name of a fabric, so why should it be used as the name of a person? You might as well name your kid Satin or Polyester.
The only time I've seen this name is on a white girl and it was spelled a little differently- Quiona- and it was pronounced Key-AH-na. I've never heard of anyone in the [my] African-American culture use this name because of its origin of being a material, and not many peopleI know use this spelling anymore; they use Kiana, Kiyanna, or Keona.