Hi Hugo!
It's a long time ago you posted your message, so I don't know if you have an answer on your question... But if it's not, read here:
The Allisons (mr. Hudson, mrs. Bess, toddler Lorraine and baby Trevor) went onboard in Southampton with the nanny Alice Cleaver. When the ship began to sink the family stayed in bed, because they thought nothing was happened. Not a collision with an iceberg, but probably a stuck propeller.
After a while mr. Hudson left the room to check out on boatdeck and Alice Cleaver packed her bags and took Trevor with her on her way to a lifeboat. Mrs. Bess and Lorraine stayed in their staterooms C-22/C-26.
When Hudson came back, they began to find Alice and Trevor (But they were in a lifeboat already.) Even when almost all of the boats had left the ship, they wouldn't get in one. Trevor had to stay with them.
When the boats were gone they couldn't find Trevor (obvious) and went down with the ship. A survivor told he saw the Allisons standing on
A-deck, staring in front of them. They were never recovered...
This is the most probably version of their death... It's also in the Titanic movie with Catherine Zeta-Jones