Salisbury Housing Authority Share: Non-Profit Organization - Human ServicesApartments Salisbury Housing Authority Visit Website 200 South MLK Jr. Ave. Salisbury, NC 28144 (704) 636-1410 (704) 636-1433 (fax) About Map About Fleming Heights is a 32 unit elderly property located on Lash Drive. It is also an affordable housing property. What's Nearby? Distance: 5 10 15 20 25 50 mi.