The Collaborative International Dictionary of English v.0.48:

Mire \Mire\, v. t. [imp. & p. p. Mired (m[imac]rd); p. pr. &
   vb. n. Miring.]
   [1913 Webster]
   1. To cause or permit to stick fast in mire; to plunge or fix
      in mud; as, to mire a horse or wagon.
      [1913 Webster]

   2. Hence: To stick or entangle; to involve in difficulties;
      -- often used in the passive or predicate form; as, we got
      mired in bureaucratic red tape and it took years longer
      than planned.
      [PJC]

   3. To soil with mud or foul matter.
      [1913 Webster]

            Smirched thus and mired with infamy.  --Shak.
      [1913 Webster]