There are copies of most of these at the University of New Mexico.

Black Range [1882-1887]
Robinson and Chloride, NM

Desert Journal [1995-present]
Truth or Consequences, NM

The Herald [1933-present]
Truth or Consequences, NM

Hillsboro News [1931-1941, became The News]
Hillsboro, NM

Hot Springs Health City News [1939-1939]
Hot Springs [T or C], NM

Hot Springs Herald [1916-1965]
Hot Springs [T or C], NM

Hot Springs Maverick [1920-1928]
Hot Springs [T or C], NM

Hot Springs News [1940-1941]
Hot Springs High School, NM

Kingston Clipper [1884-1884, became Sierra County Advocate]
Kingston, NM

Kingston Weekly Shaft [1887-1893, moved to Rincon]
Kingston, NM

Lake Valley Herald [1882-1882, merged with Deming Tribune]
Lake Valley, NM

Lake Valley New Era [1883-1885, mines and minerals]
Lake Valley, NM

New Health [1942-1942]
Hot Springs [T or C], NM

Sierra County Advocate [1884-1960]
Kingston and Hot Springs [T or C], NM

Sierra County Record [1925-1930]
Hillsboro, NM

Sierra County Sentinnel [1967-present]
Truth or Consequences, NM

Sierra Free Press [1911-1922, became Hot Springs Herald]
Hot Springs [T or C], NM