I found the name on this page:
http://www.armeniapedia.org/index.php?title=Armenian_Female_Names
It says "See Nazeli", and I did find a number of pages, in Armenian script, that contain writings like "Nazig (Nazeli)" or similar, so the connection looks good. An example, right in the title of the blog entry:
http://blognews.am/arm/news/26760/patmutyan-ays-ory---nazik-nazeli-avdalyan.html
The meaning of "delicate" on the Armeniapedia page can be confirmed as well; maybe the main sense of the common Armenian word "nazeli" identical to the name (or the other way round, of course) is not "delicate", but "pretty":
http://pararani.com/word/նազելի/
Interestingly there is quite a similar Arabic name
Nazli, with more or less identical meaning. It would be interesting to find out more about this: Armenian and Arabic are not related as languages, but maybe there was some loaning of words...
This message was edited 9/17/2016, 8:00 AM