I personally feel the artifacts belong at the bottom of the sea along with the Titanic and those who lost their lives on that tragic night.
But considering that there are these invaluable (one can never set a price on something so treasured) pieces of history that are able to be seen and learn from for many years to come.. i think that they; (unclaimed memorabilia) belong in a MUSEUM!!
And any memorabilia that are without a doubt, belonging to a passenger on the Titanic should be RETURNED TO THE FAMILY of the victim that the specific item had belonged too!!