So there it is. The fur is attached to the head, and it's all in it's place.
If I hide the sweater (wich I have now converted to polygons too) everything renders fine including the fur, but if I try to render the image with the sweater the fur is not rendered (but everything else is).
I even tried to remove the fur and make a nurbs plane with fur attached to it, and when I rendered with the sweater the fur disappeared. If I rendered the the nurbs plane with the fur, and the head, it rendered fine again. So there is obviously something wrong with the sweater - whenever I put it in the fur doesn't render?
Does anyone know what to do? Suggestions?