I've heard different aspects of songs based on my understanding of the words, so I get the idea of different feelings. To give two examples, I'll use "Hey Jesus" by the Indigo Girls and "In My Dreams" by REO Speedwagon. For the first, most people seem to hear it as a drunken girl asking God to keep her boyfriend from leaving her, and seen in that way it's sad and a bit pathetic. But when I heard the line "My baby's gonna leave me" I took it literally, so for me it was always a drunken girl pleading with God not to let her infant child die, and that makes it a lot sadder. For "In My Dreams", it's obviously written as a wistful love song until you picture the singer as someone who really shouldn't have to dream about it. In my case it was imagining the song as sung by a teenager to her mother that changed its aspect.
Virg