Rebecca Coriam, whose hometown is Chester, England, was reported missing at sea Tuesday after she failed to report for a scheduled shift on the Disney Wonder. The ship was on a seven-day cruise along the western coast of Mexico.
Her mother, Ann Coriam, told KABC-TV that "we just don't know what happened to her, do we? And that's just the worst. We've got to find out what happened."
Davies said officials on board told the family that Coriam made a phone call from the ship shortly before being reported missing.
"They say they know what the conversation was but they're not telling us," her cousin, Trish Davies, told the station prior to the meeting with investigators Sunday. "They say they've got to wait for the investigation."
It was not immediately clear what new information, if any, investigators gave the family Sunday. The ship left for its next tour of Mexico on Sunday night.
Because the Disney Wonder is registered in the Bahamas, police there were handling the investigation. The Mexican Navy and the U.S. Coast Guard also were involved.
Disney Cruise Line representatives issued a statement, pledging to assist all of the appropriate authorities, and saying they have searched the entire ship multiple times, most recently on Saturday.
"We have been doing everything possible to find Rebecca Coriam," Christi Erwin Donnan, a spokeswoman for Disney, said. "Rebecca's disappearance has been difficult for everyone at Disney Cruise Line. We've been in close contact with the Coriam family, and we're assisting them in any way we can."
Returning passengers said they were told during the cruise Coriam was missing, and were asked to keep an eye out for her.
"They announced it over the airwaves and they said that there was a missing crew member, can you please help look for the person," passenger Ron Uyen told KCBS-TV after getting off the Wonder. "It was scary. You watch your kids a little closer."
The 1,000-foot-long Disney Wonder carries 2,500 passengers and 1,000 crew members.
The Wonder is relatively new to the West Coast. It began sailing out of the Port of Los Angeles in January.
Information from: KABC-TV
Disney is the parent company of 6abc