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The system was moving sluggishly on a track that would run it up the Tennessee Valley on Tuesday. It already had dropped nearly 4 inches of rain in Pike County, Ky., by Monday morning. Flash-flood watches were issued for parts of both Tennessee and Kentucky, and forecasters warned that stream flooding and mudslides were possible.

So far, the weather has not prompted any evacuations of Labor Day campers at Great Smoky Mountains National Park.

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 cinder-block building that houses a water pump and pulled the doors off of a metal shop building. Harrison County officials said five homes were damaged by the suspected twister, but no injuries were reported.

As much as a foot of rain fell in parts of New Orleans and caused some street flooding, but the city’s 24 pumps were sucking up the water and sending it into Lake Pontchartrain. About 200 families had to be evacuated because of flooding in Livingston Parish.

In Plaquemines Parish, authorities were planning to cut a hole in a levee to drain water from a main highway. The parish, south of New Orleans, sits on a sliver of land dotted with oil and gas companies and is protected by two levees — a Mississippi River levee and a so-called back levee.

Parish spokesman Kurt Fromherz said wind from Tropical Storm Lee pushed water into Barataria Bay, which caused water to overtop the back levee in low places. Once the wind shifts, crews will cut a hole in the levee to drain water from Louisiana 23, the main artery through the parish, Mr. Fromherz said.

Associated Press writers Jay Reeves in Dauphin Island, Ala., and Randall Dickerson in Nashville, Tenn., contributed to this report.