FEMA Will Open A New Disaster Recovery Center In Carter County This Friday. The Center Will Be Located At The Carter County Public Library On North Sycamore Street In Elizabethton. Hours Will Be 10 A.M. To 7 P.M. On Opening Day And 8 A.M. To 7 P.M. Monday Through Saturday, Closed Sundays. A Recovery Center Will Also Open In Cocke County At 593 B West Broadway In Newport.