Not sure if the 1920 has brakes like my 1710, dry and exterior to the case.
This is going to seem hoky , but bear with me. I used to be manager of vehicle testing for the world's largest friction material supplier (you might know of Abex / Federal-Mogul out of Winchester, VA) so I've got a clue despite what I'm going to say.
First, to access the brakes you have to remove the external cover exposing the drum and shoes. At least on the 1710 the original brake materials were asbestos. So to work on them properly you would need a wet retention system or HEPA vac and containment to not exposure yourself to asbestos fibers. Due to the work I did, it was something I had access to.
I have found the original shoes and linings to separate over x number of years. Even when I've bought the Ford / New Holland replacements that are very expensive they will separate again over time. And I never found an aftermarket company that serviced the parts. You may find a local brake rebuilder, the few that are left, who may be able to reline the shoes with another product.
But here is what I ended up doing. The OE lining tends to debond off the shoes cleanly. I was able to remove the remaining adhesive easily off the shoe platforms. I then picked up non-asbestos flexible lining from McMaster.com used JB Weld to adhesive the lining to the shoes. I Used large worm clamps to apply circumferential pressure to clamp the lining to the shoes. The one problem that does exist after doing this is that the lining is not ground to the radius of the drum. I used to have an Ammco shoe grinder to deal with this, but my facility was closed and moved, so that's not an option. Instead, I just ground a little off the leading and trailing ends of the shoes and put it together. Initially the braking was not that good, but within a few hours of operation the high areas of the shoes wore off and braking ability has stabilized. You do have to adjust the brakes a few times during this period of high wear. I resisted just putting on the brakes and generating a lot of wear all at once as I did not want to overheat the brake shoes and debond the new lining.
This method has worked now for a couple of years and a few hundred hours. Plus in the future I do not have to worry about dealing with asbestosis fibers ever again.
what you said don't seem so strange.. I've used masenite to make clutch material before... ( works too! )