Thanks for the advise so far. Here is the requested picture.
Ouch, looks like a piece missing.
If so, it's probably time for a re-surround. Yes, this can be done on fabric-surround woofers. I've done a number of them. Not really any more difficult than a re-foam, other than needing to have the proper surround dope (sticky coating) to put on them once they're done.
Now, the sticky coating can be a problem... the compound I use comes in large (quart) cans, and seems to very quickly harden/go bad if it's put into small ("individual use") containers. This means that this coating will probably have to be put on by a speaker-repair shop (i.e, someone who would have a quantity-container) on hand...
If, OTOH, the apparently missing piece is present, you can try re-gluing it... but, with those, with that sticky coating, I find that you have a hard time matching the stiffness (VERY soft, originally) of the original surround... it might make for irregular movement of the surround (which might or might not be audible, it's a crap-shoot)...
If it were mine, I'd replace the surround. That's a very good woofer, and the recone kit is very expensive... I do whatever I can to preserve those original cone assemblies, whenever possible- keep 'em in tip-top shape, as they're pretty much "not making them like that anymore"...
Regards,
Gordon.