At Titanic1.org (Titanic Historical Society), I think they sell actual pieces of carpet from the dining room on Titanic. If I remeber it was like 900 dollars.

The story goes that one of the stewards took some left over carpet from the ship when the ship was being fitted out. The carpet was put into a chair seat for stuffing, then retrieved years later or something like that.

here is the link:
http://secured.titanichistoricalsociety.org/shop/tek9.asp?pg=products&specific=jolprnd

If you want something from the ship that survived that actual voyage, be prepared to fork over the bucks! I think a first class dinning menu from the night she sank sold for something like 100,000 dollars or more.