The ornamental design for an apparatus for hanging an auxiliary rolled sheet material, as shown and described.
FIG. 1 is a perspective view of an apparatus for hanging an auxiliary rolled sheet material in accordance with my design, with the axle of the apparatus, which does not form part of my new design, illustrated in broken lines;
FIG. 2 is a perspective view of the apparatus mounted in a first orientation and hanging from a spindle which is attached to an exterior surface of a wall such that the spindle is spaced outwardly from the exterior surface, with the axle of the apparatus as well as the spindle, wall, and rolled sheets of paper, which do not form part of my new design, illustrated in broken lines; and,
FIG. 3 is a perspective view of the apparatus mounted in a second orientation and hanging from a spindle which is positioned within a recess defined in a wall, with the axle of the apparatus as well as the spindle, wall, and rolled sheets of paper, which do not form part of my new design, illustrated in broken lines.