The ornamental design for a barn-shaped cat house structure, as shown and described.
FIG. 1 is an isometric view of the barn-shaped cat house structure, including front and side views of the barn and a view of the side of the roof, which embodies my design;
FIG. 2 is a left front-side perspective view of the barn-shaped cat house structure illustrating the front door of the barn-shaped cat house structure and an opening window on the roof of the barn-shaped cat house structure;
FIG. 3 is a right front-side perspective view of the barn-shaped cat house structure illustrating an opening window on the roof of the barn-shaped cat house structure;
FIG. 4 is a top perspective view of the roof of the barn-shaped cat house structure;
FIG. 5 is a bottom perspective view of the barn-shaped cat house structure illustrating a completely flat bottom comprising no illustrations;
FIG. 6 is a right side perspective view of the barn-shaped cat house structure illustrating the side of the barn completely flat comprising five window illustrations, three on the body and two on the roof; and,
FIG. 7 is a left side perspective view of the barn-shaped cat house structure illustrating the side of the barn completely flat comprising five window illustrations, three on the body and two on the roof.
In the drawings, the broken lines depict unclaimed subject matter only and form no part of the claimed design.