Jordan, of Pine Hill, fell into the Atlantic Ocean from a balcony of Norwegian Dawn on Sunday night, about two hours after boarding the Bermuda-bound vessel with her boyfriend.
Miami-based Norwegian Cruise Line says surveillance video from an interior hallway shows that Jordan was alone in their room from 7:36 p.m. until 7:53 p.m., when an exterior camera shows her falling from the balcony.
The cruise line has said its preliminary investigation indicated that Jordan, a 46-year-old nurse and mother of two teenagers, slipped while trying to reach from the balcony of her room to the neighboring room, where her boyfriend, Jorge Caputo, was visiting with friends.
Jordan's mother, Louise Horton, of Bordentown, said the cruise line has told her about the surveillance video, which hasn't been made public, and that she doesn't believe the video shows exactly what happened leading up to the fall.
"If that happened, how would they know that?" Horton said of the cruise line's conclusions.
A cruise line spokeswoman didn't immediately return an Associated Press phone call on Thursday.
Horton says she has declined the cruise line's offer to fly her to Bermuda to see the video and pick up her daughter's belongings. She says she's asked for the video to be sent to her.
The FBI is investigating the fall. Agents met the ship in Bermuda on Wednesday and interviewed some people aboard.
Jim Margolin, a spokesman for the FBI's New York office, said the agency might not make an announcement if its probe finds that no crime was committed.
