I've had a few pelts that started to fall apart, and I used a gentle leather conditioner with lanolin on them and that seems to have shored them up a bit. I got the conditioner at Restoration Hardware a million years ago, (oh, here it is http://www.restorationhardware.com/rh/catalog/product/product.jsp?productId=prod1356003&navAction=jump ) and it works well on leather coats, pelts and sheepskins.

Barring finding someone satisfactory to take care of it for you, if it were my piece I would take the lining off, treat the leather a few times to get it nice and supple, or as near as one can, and then reline it. You may have to call the bits still in the seams a loss, but you should be able to salvage most of it.
I suppose if absolute worse came to worst, you could adhere the fur to, say a measure of silk or satin and keep it in one piece that way.

I have a book on tanning that you're more than welcome to borrow for ideas if you'd like.