The Early Show Tour My Town June 12, 2006 / 9:55 PM EDT / CBS News CBS Truth or Consequences, N.M., originally called Hot Springs, is situated on the banks of the Rio Grande in the southwest portion of the state. Truth or Consequences, N.M. CBS "T or C," as the locals call it, was named for the 1950s radio program "Truth or Consequences." Truth or Consequences, N.M. CBS T or C is best known for its hot mineral springs, which are said to have therapeutic benefits. Truth or Consequences, N.M. CBS This old photograph, thought to be from the 1860s or '70s, is the earliest known image of people enjoying the benefits of the hot mineral springs. Truth or Consequences, N.M. CBS The Early Show's Rene Syler not only took a dip in the baths... Truth or Consequences, N.M. CBS ...she also tasted the mineral-rich water. Truth or Consequences, N.M. CBS For those who aren't interested in the geothermal baths, Elephant Butte Lake State Park offers year-round hiking, fishing and water sports.