The Collaborative International Dictionary of English v.0.48:

Process \Proc"ess\, n. [F. proc[`e]s, L. processus. See
   Proceed.]
   [1913 Webster]
   1. The act of proceeding; continued forward movement;
      procedure; progress; advance. "Long process of time."
      --Milton.
      [1913 Webster]

            The thoughts of men are widened with the process of
            the suns.                             --Tennyson.
      [1913 Webster]

   2. A series of actions, motions, or occurrences; progressive
      act or transaction; continuous operation; normal or actual
      course or procedure; regular proceeding; as, the process
      of vegetation or decomposition; a chemical process;
      processes of nature.
      [1913 Webster]

            Tell her the process of Antonio's end. --Shak.
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   3. A statement of events; a narrative. [Obs.] --Chaucer.
      [1913 Webster]

   4. (Anat. & Zool.) Any marked prominence or projecting part,
      especially of a bone; anapophysis.
      [1913 Webster]

   5. (Law) The whole course of proceedings in a cause real or
      personal, civil or criminal, from the beginning to the end
      of the suit; strictly, the means used for bringing the
      defendant into court to answer to the action; -- a generic
      term for writs of the class called judicial.
      [1913 Webster]

   Deacon's process [from H. Deacon, who introduced it]
      (Chem.), a method of obtaining chlorine gas by passing
      hydrochloric acid gas over heated slag which has been
      previously saturated with a solution of some metallic
      salt, as sulphate of copper.

   Final process (Practice), a writ of execution in an action
      at law. --Burrill.

   In process, in the condition of advance, accomplishment,
      transaction, or the like; begun, and not completed.

   Jury process (Law), the process by which a jury is summoned
      in a cause, and by which their attendance is enforced.
      --Burrill.

   Leblanc's process (Chem.), the process of manufacturing
      soda by treating salt with sulphuric acid, reducing the
      sodium sulphate so formed to sodium sulphide by roasting
      with charcoal, and converting the sodium sulphide to
      sodium carbonate by roasting with lime.

   Mesne process. See under Mesne.

   Process milling, the process of high milling for grinding
      flour. See under Milling.

   Reversible process (Thermodynamics), any process consisting
      of a cycle of operations such that the different
      operations of the cycle can be performed in reverse order
      with a reversal of their effects.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Mesne \Mesne\, a. [Cf. Mean intermediate.] (Law)
   Middle; intervening; as, a mesne lord, that is, a lord who
   holds land of a superior, but grants a part of it to another
   person, in which case he is a tenant to the superior, but
   lord or superior to the second grantee, and hence is called
   the mesne lord.
   [1913 Webster]

   Mesne process, intermediate process; process intervening
      between the beginning and end of a suit, sometimes
      understood to be the whole process preceding the
      execution. --Blackstone. --Burrill.

   Mesne profits, profits of premises during the time the
      owner has been wrongfully kept out of the possession of
      his estate. --Burrill.
      [1913 Webster] Meso

Bouvier's Law Dictionary, Revised 6th Ed (1856):

MESNE PROCESS. Any process issued between original and final process; that
is, between the original writ and the execution. See Process, mesne.