The child´s injured father was taken to a hospital.
Authorities also confirmed a 78-year-old man's body was found outside by family after being electrocuted while trying to connect extension cords in the rain.
The storm originally made landfall at Wrightsville Beach, North Carolina, on Friday as a category one hurricane.
The enormous storm crept at a 6 miles per hour pace, making it clear that the trouble was just beginning.
The death toll from the hurricane-turned-tropical storm had climbed to 13 by Saturday evening with 10 deaths reported in NC and three in SC. Authorities in the USA state of North Carolina have warned residents that flooding could get worse.
In New Bern, hundreds of people were rescued from their flood-swamped homes.
"It has slowed", he said.
But for many residents in the low-income communities most threatened by the storm's wake of devastation, evacuation was never a possibility.
By Friday evening, the center of the storm had moved to eastern SC, about 15 miles northeast of Myrtle Beach, with maximum sustained winds of 70 mph.
But the size of the storm meant the path didn't really matter.
The storm had maximum sustained winds of 50 miles per hour as of 5 a.m., the briefing said.
Originally a hurricane, Florence has been downgraded to a tropical storm.
The office of Governor Henry McMaster ended the evacuation for Charleston, Dorchester, Berkeley, and Colleton counties on Saturday.
Meanwhile, Roanoke County officials declared a state of emergency Saturday in what they described as a precautionary step.
Power outages increased throughout Friday. As of Saturday, about 676,000 homes and businesses were without power in North Carolina, along with 119,000 in SC. The end of the evacuation goes into effect at noon.
The Triangle is under a flash flood warning until 8 p.m. Sunday.
The storm made landfall on Friday near Wilmington, a city of about 120,000 squeezed between North Carolina's Atlantic coastline and the Cape Fear River. He urged residents to stay inside and not get in the way of emergency workers.
Energy Secretary Rick Perry said the USA electricity sector has been well prepared for Hurricane Florence even as hundreds of thousands of homes lose power in the storm. "It's an uninvited brute who doesn't want to leave". Areas like New Bern also could see an additional 3 to 5 feet of storm surge as high tide combines with the seawater still being pushed ashore by Florence, Graham said. In Belhaven, the rising Pungo River almost swallowed the firstfloor of a house. Rivers will continue to rise days after the rain has stopped, he said.
Storm Florence may have weakened but the full extent of the damage it has wreaked may not become clear for days.
"If it goes up to my front step, I have to get out", Quinton Washington said.
'It has already dumped 20-to-30 inches of rain on parts of the Carolinas with more to come, ' he said. He added that there would be no mercy for those who try to steal from others' homes during the storm.
Across the Trent River from New Bern, Jerry and Jan Andrews returned home after evacuating to find carp flopping in their backyard near the porch stairs.
Mr. Trump tweeted "3000 people did not die in the two hurricanes that hit Puerto Rico".
New Bern, which has a population of about 30,000, was once the capital of the state's colonial government. "It's making it hard for us to move valuable resources to areas in need".