New Madrid County Health Department Share: Hospitals & Clinics New Madrid County Health Department Visit Website 406 U.S. Hwy 61 New Madrid, MO 63869 1-573-748-5541 (573) 748-5996 (fax) Facebook Hours: 8 a.m.-12 p.m. & 1 p.m.-4:30 p.m. Monday through Friday About Map About Local Public Health Department What's Nearby? Distance: 5 10 15 20 25 50 mi.