Sorry to be vague, but there was a 1950's singer called (I think) Adam Smith, who had a hit that was played often on nostalgic radio stations... I remember really enjoying it, but have never been able to track it down. I can't now even remember the title - does this ring any bells for anyone?
There is an Adam Smith but not from the 50's He's more current. Is it possible you're confusing the name with Adam Faith who had many hits? Probably his biggest was 'What do you want if you don't want money'