Like many it seems when using a plastic sweater sterilite type box to hold micies, the water bottle needs to be "rigged" to make it work. Check out what my husband in his mind, brilliantly, came up with. No more duct tape!!
Jason screwed a small screw into the lid close to the edge, and then we used a hair tie although a rubber band was what we were looking for and jst wrapped it around the bottle and screw.