Even storing fabric in cardboard can cause stains (ask me how I know). I would agree, have a layer between the quilt and the raw wood.
From HGTV.com
Be aware that cedar stains.
If you are storing clothing in a cedar chest or another wooden container, be sure to line it with acid-free paper, muslin or even old, clean, cotton bed sheets. This will keep the wood from contacting the clothing directly, which could stain or damage the item.
Last edited by ptquilts; 05-09-2013 at 03:17 AM.