Los Angeles (CNN) -- The parents of a British woman who went missing while working on a Disney cruise last Tuesday were waiting at the dock Sunday morning when the ship returned to the Port of Los Angeles.
Rebecca Coriam, 24, disappeared Tuesday as the Disney Wonder sailed off Mexico's Pacific coast on the third day of the weeklong cruise, a Disney spokeswoman said.
"We just don't know what happened to her, do we?" her mother, Ann Coriam, told KABC-TV Sunday. "That's the worst. Nobody seems to know. We've got to find out."
Disney Cruise Line, in a written statement Sunday, said it was "doing everything possible" to find Coriam, who was worked in the ship's youth program, "including conducting multiple shipboard searches, the latest one as recently as Saturday."
Her parents, who are from Chester, England, traveled to Los Angeles to meet with investigators and to gather their daughter's belongings when the ship arrived in port Sunday.
"It's just very, very painful, and the thought of not seeing her again, I don't know," her father, Michael Coriam, said in the KABC-TV interview. "It's frightening to think about it, really."
The Bahamian Maritime Authority is leading the investigation, since the ship is registered in the Bahamas. The U.S. Coast Guard and the Mexican navy were also involved in the search.
The ship's voyage began March 20 at the Port of Los Angeles bound for Puerto Vallarta, Mexico, where it docked Wednesday.