Possible Clues:

• Material for some sheets
• Closely woven cotton fabric resembling satin
• It comes at the end of the week, even if it's smooth
• It comes at the week-end, even if it's so smooth
• Cotton fabric with a smooth finish
• Shiny cloth found in senate
• Glossy cotton
• It has a lustrous face
• Strong cotton fabric
• Sea net could provide a glossy fabric