BIRMINGHAM, Ala.—The prospect of more tornadoes overnight and into Thursday across the Deep South had forecasters advising residents to take extra precautions after a wave of storms pounded the region throughout the day Wednesday, leaving a trail of splintered trees and damaged buildings. The biggest overnight threat of tornadoes remained over Alabama, according to the National Weather Service’s Storm Prediction Center, but severe storms and tornadoes were possible from east-central Georgia and northeast across South and North Carolina later in the day Thursday. “Significant tornadoes, wind damage and large hail will be possible from morning into afternoon,” the center advised late Wednesday. “Severe thunderstorms will also be possible from parts of the eastern Gulf Coast into the southern and central Appalachians.” The weather service advised residents throughout the region to keep the volume up on cellphones to hear emergency alerts throughout the night. While nearly 16 million people in the …