Hancock County Hospital (Sneedville, Tenn.). Hancock County Hospital, part of Kingsport, Tenn.-based Wellmont Health System, opened in 2005 to provide quality healthcare services to the Sneedville community. In 2015, HCH was named a Top 20 Critical Access Hospital by the National Rural Health Association for patient satisfaction. In 2012, it was named a Top 20 Critical Access Hospital by NRHA for quality.
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