Hi,
I talked about this when I responded to your comment about the crosshatch polygon. You can NOT move individual vertices when dealing with these "detailed" textures (with lines, etc. in them). You must select ALL the vertices and then use the Rotate, Move, and Resize buttons until the object fits the texture the way you want it to. DO NOT move individual vertices!
PS. Don mentions a way to move the vertices themselves, and that will indeed work. But one little slip of the mouse that you do not notice and your mapping will be ruined...
Hope this helps,