In 2002, Eric D. Page was granted US patent #6681419B1 for a "Forehead support apparatus" enabling men to rest their head (the one atop the neck) while standing at a urinal. The device includes a "mounting member," which contrary to what you might think is actually a fitting for attaching it to the wall. It's also suitable for the shower. From the Abstract:
A compressible head support member is attached to and extends from the wall and said mounting member. The head support defines an elastically deformable or resilient forehead support surface which is spaced above the floor and from the wall a distance sufficient for the user to lean his forehead thereagainst and be supported while using the commode or urinal.