This Toilet paper holder can be mounted with two drywall anchors and screws. No supports are required! Make sure to orient the print so that the bottom of the hook is on the bed and the top of the hook is pointed upward.

Hardware used in the picture: Plastic wall anchors #8 x 1 x 1 1/4 screws https://www.amazon.com/gp/product/B086ZK7RBF/ref=ewc_pr_img_1?smid=A2MPND3FB07Q7G&th=1