GALVESTON, Texas -- The U.S. Coast Guard has suspended a search in the Gulf of Mexico for a passenger missing from a cruise ship that sailed out of Galveston.

A Coast Guard statement says search and rescue coordinators suspended the search for 33-year-old Samantha Broberg around 8:15 p.m. Sunday.

The statement says crews searched for 20 hours and covered more than 4,300 square miles.

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The Coast Guard said earlier that its district command center in New Orleans was contacted by the master of the cruise ship Carnival Liberty. The ship, about 200 miles southeast of Galveston, reported that a surveillance video showed a woman falling overboard about 2 a.m. Friday.

All passengers were checked and Broberg was found to be missing.

A hometown for Broberg was not given.

The ship departed from Galveston Thursday on a four-day cruise to Cozumel, Mexico, reports CBS Houston affiliate KHOU-TV.