You need to UV map the model. At the moment, the body is using the same UV space as the beak, so the texture shows up down there.

The same problem with the stripes on top of the beak, the UV's there are probably overlapped or need to be straightened out.

I'll move this to the texturing forum. Also, I'll rename your thread, since it's not Paint FX that you are using, but the 3D Paint Tool.