In "A Night to Remember", Lord mentions Thomas Andrews staring into that painting during Titanic's last minutes (at about 2:10 a.m.) and refers to it as "The Approach of the New World." That title is both poetic and fitting as the painting was likely the last thing Andrews saw before he died.

Wow. I am a nerd.

In response to the question, I would be tempted to take the ship's log book, as reading it might be able to answer some questions. I would also want the clock and the cherub from the Grand Staircase, because they are both beautiful reminders of a lost ship and a lost era.