The father was also home, and he was taken to the New Hanover Regional Medical Center for treatment.
Officials say two people died in Lenoir County. As Cooper said, "There's nowhere for the water to go".
More than 12,000 were in shelters in North Carolina. "The storm is wreaking havoc on our state".
The American government is ready to deal with the aftermath of the hurricane but people should get out of the way, Trump said.
Some towns have received more than 2 feet (60 centimeters) of rain from Florence, and forecasters warned that drenching rains totaling up to 3½ feet (1 meter) of water could trigger epic flooding well inland through early next week.
The Miami-based center had said earlier Friday Florence's arrival would come with "catastrophic" fresh water flooding over portions of the Carolinas.
"We're deeply concerned for whole communities which could be wiped away".
In New Bern, North Carolina, the storm surge overwhelmed the town of 30,000 which is located at the confluence of the Neuse and Trent rivers.
"WE ARE COMING TO GET YOU", the city of New Bern tweeted. "The water started rising and we evacuated nearly an entire TV station in about 15 minutes".
"It's just very disturbing", said Robert Snow, 48, of Morehead City, who is staying at the Garner shelter.
By mid-afternoon the winds had dropped to 75 miles per hour (120 kph) and the center was moving west at 6 miles per hour (10 kph), the NHC said, and parts of North and SC would get as much as 40 inches of rain (1 meter).
"Great job FEMA, First Responders and Law Enforcement - not easy, very risky, tremendous talent".
Hurricane Florence, weakened but still unsafe, has crashed into the Carolinas on Friday as a giant, slow-moving storm that stranded residents with floodwaters and swamped part of the town of New Bern at the beginning of what could be a days-long deluge. "Once the storm moves further inland to Atlanta and Charlotte, the biggest issue will be rain and thunderstorms", she said.
As of now, American is still running its full schedule - except for flights to the cities near the storm, like New Bern and Wilmington, says American spokesperson Crystal Byrd. By that time, emergency crews had already been deployed to parts of the state where people were trapped by floodwaters.
In Wilmington, near where the eye of the hurricane touched down, trees and power lines were down and many windows had been broken. He said all roads leading to his neighborhood were blocked by fallen trees.
Ken Graham, the NHC's director, warned the slow pace of the storm exacerbated its danger even to areas outside its immediate path.
Boarding up his home in Myrtle Beach, South Carolina, Chris Pennington watched the forecasts and tried to decide when to leave. Wilmington Deputy Fire Chief Steve Mason said the victims died at the scene. "I wonder how it would have been with a Category 4 or 5". Projections as of 5:00am EST on September 13, 2018. We have steps on the sides of the house so it's a few feet off the ground anyway.