As Salāmu ʿAlaykum, Alcohols are a class of chemicals, alcohol in common usage is referring to a specific substance called ethanol in the alcohols class. Glycerol/Glycerine does not intoxicate. Same applies for things like Propylene Glycol. Hope that clarifies the terminology.
Glycerine/glycerol has completely different chemical make up from that of alcohol. However, glycerine can be (but not always so) derived from animal product. If from non-zabihah/haram animal source, then it is haram.