The Collaborative International Dictionary of English v.0.48:

Barmaster \Bar"mas`ter\, n. [Berg + master: cf. G. Bergmeister.]
   Formerly, a local judge among miners; now, an officer of the
   barmote. [Eng.]
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Burghmaster \Burgh"mas`ter\, n.
   1. A burgomaster.
      [1913 Webster]

   2. (Mining) An officer who directs and lays out the meres or
      boundaries for the workmen; -- called also bailiff, and
      barmaster. [Eng.]
      [1913 Webster]