The reason why I think gglycerin and glycerol are 2 different molecules is glycerin formula is C3H5(OH)3 and glycerol is C3H8(OH)3. On the site you linked I do not see NaCl. I see sodium chlorate. Are sodium chloride and sodium chlorate the same? the reason why I say the NaCl did not dissolve is I can still see it after stirring.
Carbon may have four bonds. There is no way to arrange C atoms to get a compound such as C3H8(OH)3. C3H5(OH)3 is the correct formula for glycerin as well as for glycerol.
http://en.wikipedia.org/wiki/Glycerol
The next site gives a table for solubility NaCl is various solvents at 25C and lists solubility in glycerin of 83 g/kg solvent.
http://en.wikipedia.org/wiki/Sodium_chloride
NaClO3 is sodium chlorate. It is not the same as NaCl, of course. The site I gave you was to show that polar compounds such as KCl and NaClO3, to name just two, are soluble in glycerin and NaCl should be also. Here is a site that shows the solubility of NaCl in water at various temperatures.
http://www.sy-kogyo.co.jp/english/sei/tech_data/phase4.htm
(Note: Scroll down to the bottom of the page to show part 2 of the site; that is where the NaCl is shown. Here is another site)
http://www.buzzle.com/articles/properties-of-sodium-chloride-common-salt.html
You haven't cited any evidence in the experiment you conducted to show that none of the NaCl dissolved. How much did you put into the container? How much solvent did you add? I suspect some did actually dissolve but little enough that you couldn't see the difference between what you added and the amount left after a little dissolved. H