Thanks for the link!
I did find this about cleaning oilcloth:
You can wipe oilcloth clean using a warm, soapy sponge then dry it off with a soft cloth. Machine washing is not suggested. Store folded or rolled. Any creases from folding will smooth out over time-- faster in a warm environment. If you want to speed the process up you could use the steam setting on an iron with a pressing cloth between the iron and the oilcloth (DO NOT TOUCH THE IRON TO THE OILCLOTH).