Since posting this I discovered that Valenti tractor in Troy N.H. is out of business.
Closed down, gone, although there is still a back to front fork lift Branson in the yard, plus a lot of other junk.
For my own joy stick boot - I have been making do with a plastic bag, that won't make it through the winter.
I have cleaned up the splits in the original boot and glued them together, they seem to be holding.
Plan next is to try and "paint" it with rubber cement, initially on the outside and if that makes it strong enough to do so I will turn it inside out and do the other side.
I did look for some generic joystick boots, e.g. at Surplus supply, but nothing seemed close enough.
Hard to believe there isn't a Caterpillar, Case, JD, or whatever else that would fit.
Another search turned up this;
New OEM KIOTI 36��1-�18� Loader Joystick Valve Handle Cover Boot 3SOF2�4111 | eBay
It looks very similar, most seem to be rectangular but this looks as if it is square - of course it could be too small.
I doubt that auto gear shift boots would hold up to weather, the ones I've seen have been faux leather (or cheap "real" leather) and typically made to fit to an approximately flat floor.
This needs to fit over a square raised box (with rounded corners).
I will probably start carrying the old boot around with me and drop by the parts counters of large equipment places to see if they can match it up.
ONE place I will try is a KIOTI dealer to see how close the one I found on line would fit.
I agree, PLENTY of them and they all seem to be different, very different.
Very few are square, rectangular yes, but not square.
Very few have the shaft hole centered in the rectangle, most are toward the front or rear.
Again, the KIOTI one that I posted on earlier seems closest, but for now it is "glued up" back on the tractor and in use - hopefully through this winter.

Well I hope the glued up one works good for you.
I can see that you where looking for a square one but What size?
The one on my 8050 is square about 2 1/2" x 2 1/2" about 7 inches tall.
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Hey Reg,
If you can稚 find one try some stuff called SHOE GOO , I have used it on rubber boots and some miscellaneous rubber repairs , on one repair I imbedded some fiberglass mesh in it a few years ago and it痴 still holding up good and it痴 made to get wet and can handle extreme hot and cold , weather good luck , Dan