Growing up, we had a fireplace but no mantel, so we uses old curtain hooks and hung the stockings from the fireplace vents! Dad had a mantel built after everyone left home so now the stockings go on the mantel. Only now we ALL have a stocking, so there are 11 stockings and we've run out of room on the mantel!
In our first house we hung our stockings from a shelf that had three pegs on it.
Now we hang DD's stocking from a knob on the pie safe and our stockings on the wall. I have pictures to hang on that wall and when I do, I'll have to find another place for our stockings. I'm thinking that I will hang them on the stair banister with garland.