Wilkes Countyâs first shipment of COVID-19 vaccine is expected next week, but local and state officials still donât know how much is coming. Meanwhile, 85,800 doses of the Pfizer vaccine are expected at 53 hospitals across the state by the end of this week. North Carolinaâs first shipment â 1,925 doses â arrived at Wake Forest Baptist Medical Center in Winston-Salem about 7:30 a.m. Monday. Vaccination of employees there started Monday. The N.C. Department of Health and Human Services (DHHS) announced the number of doses expected at each of the 53 hospitals this week, including 975 doses at Hugh Chatham Memorial Hospital in Elkin.