Last Updated 1:00 p.m. ET
Remnants of Tropical Storm Lee - downgraded to a tropical depression - continue to bring flooding to Louisian and Mississippi Monday. The storm has dropped a foot of rain or more in some places, spreading the risk of flash flooding as it heads north, and has been blamed for the death of a Mississippi man swept away by floodwaters.
The storm left 13 inches in New Orleans and 15 inches in the metro areas, and spawned tornadoes in Lilliana. The storm is expected to bring between four and eight inches of rain as it crosses over into Alabama.
The mayor of Jackson, Miss. - which has gotten more than ten inches of rain - declared a state of emergency. The National Weather Service has issued flood warnings for the area.
Entergy Mississippi spokesman Joey Lee said that as of Monday morning, the company had 4,600 customers without power. Coast Electric Power Association and Singing River Electric Power Association also reported outages.
Beaches are empty on Alabama's Dauphin Island, where much of the main road is flooded and covered with sand. Flash flood watches and warnings are in effect from the lower Mississippi Valley to the Florida Panhandle and the southern Appalachians.
Authorities say a man being rescued from floodwaters after his car was trapped near the entrance of the marina where he was staying at Coleman Park was swept away. The body of John Anderson was found about 300 yards away.
CBS News correspondent Bigad Shaban reporting Monday from Crown Point, La., said while the storm is expected to die down this morning, coastal communities are suffering the effects of storm surge, turning homes into tiny islands.
Plaquemines Parish President Billy Nungesser told "The Early Show" that water is still coming over the levee there. "Highway 23 is completely underwater, cut our parish in half," he said.
Nungesser said it was not as bad as Hurricane Katrina, but said that with water pounding on the levee for three days, "it was inevitable the levee would be overtopped. " He said about 5,000 people were stranded in South Plaquemine.
While Lee's winds have lost some of their punch, forecasters warn that its slow-moving rain clouds pose a worse flooding threat to inland areas with hills or mountains in the coming days.
Flash flood watches and warnings were in effect across a swath of the Southeast early Monday, stretching from the lower Mississippi Valley, eastward to the Florida Panhandle and the southern Appalachians, according to the Hydrometeorological Predication Center.
National Hurricane Center specialist Robbie Berg said Lee's flash flood threat could be more severe as the rain moves from the flatter Gulf region into the rugged Appalachians.
Closer to the Gulf, the water is "just going to sit there a couple of days," he said. "Up in the Appalachians you get more threat of flash floods."
The threat of tornadoes spawned by Lee's remnants was diminishing early Monday, said Fred Zeigler, a meteorologist with the National Weather Service. But he said coastal flooding would remain a concern.
No deaths had been directly attributed to Lee, though a body boarder in Galveston, Texas, drowned after being pulled out to sea in heavy surf churned up by Lee. The Coast Guard was also searching Sunday for a teenage boy swept away by rough surf off Gulf Shores, Ala. A man in Mississippi also suffered non-life-threatening injuries when authorities said he was struck by lightning that traveled through a phone line.
The vast, soggy system spent hours during the weekend hovering in the northernmost Gulf of Mexico before its center finally crossed into Louisiana west of New Orleans, pelting a wide swath of coastline.
On Sunday night, the National Hurricane Center said Lee's center was about 55 miles west-southwest of McComb, Mississippi and moving east-northeast at 7 mph. Maximum sustained winds were 35 mph.
Some of the damage on the Gulf Coast, where tropical storms are an almost yearly event, appeared to come from spinoff tornadoes that touched down in southern Mississippi and Alabama.
Dena Hickman said her home in Saucier, Miss., was damaged by what she believes was a tornado. It happened too fast for her to get her 12-year-old daughter, who uses a wheelchair, out of her bed and into a safer place.
"I laid on top of her to try to protect her. It all happened so quickly I couldn't do anything else," she said Sunday.
Her family weathered the storm, but it damaged shingles on their roof, flipped a 34-foot camper on its side, ripped off the roof of a cinderblock building that houses a water pump and pulled the doors off of a metal shop building. The contents of a neighbor's pulverized trailer were scattered across the Hickmans' yard.