I think that is a fair interpretation, however, I think it could also be about forbidden love, an affair, not just old lovers. It's clear that they are old lovers with a history. Burning bridges, makes me guess that she is married. Finding myself in a similare situation in my life, I find the line "We make a little history, baby/Every time you come around" especially beautiful. Inside of a relationship that can have no future, I found myself telling my lover that I will remember him when I am an old woman. Sometimes life is complicated, like a good song.
I think that is a fair interpretation, however, I think it could also be about forbidden love, an affair, not just old lovers. It's clear that they are old lovers with a history. Burning bridges, makes me guess that she is married. Finding myself in a similare situation in my life, I find the line "We make a little history, baby/Every time you come around" especially beautiful. Inside of a relationship that can have no future, I found myself telling my lover that I will remember him when I am an old woman. Sometimes life is complicated, like a good song.