So textures on curved surfaces have always been funky in Sketchup, and I can't seem to get this one to work properly. The problem is that I'm working with a cylinder with two different radii at each end. So the typical method of mapping a texture to the cylinder surface results in the texture being rotated from a point and curves up as it wraps the shape.
Any thoughts on how to make this work? Here are samples of the shape and the texture.