Thanks Anne - brilliant link. I didn't think to search for oily or wet - used sweat, sweating, fog, fogged. (Hope listing all the keywords here will help the next person.) How brave people are to lick an icky surface. I did note a smell I've always thought of as 'china cabinet smell'.
Sydney is so humid it doesn't surprise me. It confirms my suspicion that this is cheap glass - the stuff from the 60s & 70s definitely was - and will help me with the sorting out. After washing, they have a different 'look', less 'crisp', than the clean pieces which made me suspicious.
BTW sorry about the double post - it took so long to post I thought it failed and clicked again.