A foldably assembleable generally rectangularly-shaped box-like container with spaced lateral and longitudinal walls where one longitudinal wall has a greater height and has two hooks, or folds into a hook-like shape, for placing the container upon a bed rail. The container preferably has dividers that divide the interior into compartments for storage of things therein and which also stiffen the container. Optional stiffener box or shelf constructions may be employed to strengthen the container against collapse and to effect shallower compartments. The container can be foldably formed from one or two layers of material, often cardstock or cardboard.