We’re saying it wrong

You’ve heard the phrase “button your shirt up” or “button up your shirt” There’s even an old song “Button up your overcoat when the wind is cold” right?

Isn’t that wrong?

One doesn’t button one’s shirt, or coat, up.  One usually buttons it down.

I actually start in the middle, but I’ve never seen anybody start buttoning a shirt, or coat, from the bottom, up.

One can button up a deal, I guess, or batten down the hatches.  I suppose one can either start out, or start off, on a journey.  And one can eat something up, or scarf it down.  One does zip up a jacket, but one doesn’t zip up a lip.  It’s just plain “zip your lip”, right?

Nobody zips his or her lip up or down, do they?