Ironing Board Rack (for t-frame ironing board)

Our ironing board folds nice and neat where it would fit snug against the wall - except that with nothing to hold it, it tends to un-click one notch and flop around in the way. Our closet is very narrow with shelves about 20" across from the space the board is stored in. I needed something to keep this stored neatly, and also raised up off of the floor so the wheels for our all-purpose cart would have room. Moving either of these items tends to start an entangled battle where both have to be rem