Thanks, both of you, for trying to help me with this!

The song I was after is definitely older than Phil Vasser's-- the Tanya Tucker one is more from the right time period. However, I'm pretty certain that there was that image of the girl's supporting her husband ("he depends on her", or "leans on her," or some such image) that appears a couple of times in the song, with a different interpretation each time.
"Two Sparrows in a Hurricane," though, is so close to what I had in mind that perhaps I truly was thinking of it and just mixed it with parts of a different song in my mind. I had forgotten all about "Two Sparrows in a Hurricane," and it is very, very similar to the main idea of what I was trying to remember.