Evidently the woofers have weakened the surrounds causing them to extend below the frame. This cause by years of downward facing. While new cones can be installed probably better to just replace them with a new one made for a sealed speaker.
I know this has been up a while, but it sounds as if the woofers are not working or in need of repair. Cosmetically they do look better than most. The ones I have seen look pretty rough. They were a sophisticated loudspeaker for their time.