Get hold of Titanic, Triumph and Tragedy by J P Eaton and C A Haas, this has a chapter called 'Rescue" which has several photos of survivors. I guess they recovered as best they could while mourning their lost loved ones. You could also go to Library, one book I recommend is Titanic Story as told by the survivors by Winocour (someone might be able to help with exact title.) Walter Lord's A Night to remember also has clues
Check out my article: Eric Cimino, "Carpathia's Care of Titanic's Survivors" in Voyage: Journal of the Titanic International Society 101 (2017): 23-31. It describes the activities on the ship as it journeys to New York.
Is there a video or audio recording available of a survivor recounting their story that includes what happened to them once they boarded the Carpathia? I have listened to the captain of the ship telling the story from his point of view but haven't found any from survivors really. I'm mainly interested in the third class but any would help. Thanks