I agree with the recommendation to deglaze the drum and shoes. If you don't have any oil or grease contamination you could probably skip the solvent clean. Perhaps use soapy water instead. If you need new shoes, here is a possible source:
https://www.oldbiketrader.co.uk/disp...ternalhubparts
I usually buy my Sturmey stuff from
SJS; however they don't have the shoe kit for a hub this old. You might call them to discuss.
Good luck.