There was actually a registered ship named the SS Virginian which was built in 1904 and scrapped around 1954. The ship had one funnel with the Allan Line's colors on it. The SS Virginian also had a vital part in the Titanic disaster in April 1912 as she was reported near the vicinity of the sinking and within radio contact.
Exterior shots of the ship are the inspired blueprints of the SS Lusitania and her sister ship the SS Mauritania. The ballroom in which 1900 plays his piano in had a dome similar to the dome the SS Mauritania had in her ballroom during the transatlantic period.