That brake was used on just about everything including Willys CJ's and most 3 and 4 speed transmissions from numerous manufacturers using the driveshaft brake. The original band was made from woven asbestos.
It would probably be best to take it to a brake & clutch reline shop if you have one in your area. I'm not sure anyone is using asbestos lining anymore but I'm sure they would have a suitable lining material.
Fred


1956 3100 Pickup/Red/350/3sp OD/PS/Disc Brakes
1957 Bel Air Sport Coupe/Red/355/TH350/PS/Disc Brakes
2017 Silverado LT Single Cab SB/Black/5.3/6 Speed Trans
1947 Willys CJ2A w/F-Head engine