"I picture her sitting at the oilcloth-covered table"
Bolts of Oilcloth
Creative Commons AttributionBolts of Oilcloth - Credit: gina pina

Oilcloth is semi-waterproof and cheap, and was often used to cover floors and roofs.  It was also used for kitchen tablecloths and tents.

It is made by stretching linen cloth on a frame and coating it with linseed oil.

Oilcloth Blog