press cloth
/ˈprɛs klɒθ/noun
1A cloth used in a press to cover or protect the thing pressed, to strain a pressed extract, or to aid and equalize compression.
2A piece of cloth placed on top of a garment or piece of fabric when ironing, for protection, or dampened to produce steam.
Origin
Mid 18th century. In sense 1 from either press or press + cloth.