Late-19th Century pop songs had several such songs, including two I can think of just now:
"THERE'LL COME A TIME," which is just conversation, no "he said, she said" stuff, between a father and daughter, in which the father reveals that his wife left him long ago, and he's sure that "there'll come a time, someday" when the daughter will leave him. It's corny and cloying and all those 19th-century things, but it's interesting. Not sure I can find the words, but I'll try to look for 'em.
"JUST TELL THEM THAT YOU SAW ME," by Paul Dresser, from 1892, I think. A chance encounter on a street between a man "on pleasure bent" and an old school-girl friend who is obviously walking those streets. I _can_ remember this one, and if it's not in the DT, I'll submit the lyrics.