The Collaborative International Dictionary of English v.0.48:

Comether \Co*meth"er\, n. [Prob. dial. pron. of come hither,
   used in calling cows, etc.] [Dial. or Colloq., Brit.]
   1. Matter; affair.
      [Webster 1913 Suppl.]

   2. Friendly communication or association.

   To put the comether on or To put one's comether on, to
      exercise persuasion upon; to get under one's influence; to
      beguile; to wheedle.

            How does ut come about, sorr, that whin a man has
            put the comether on wan woman he's sure bound to put
            ut on another?                        --Kipling.
      [Webster 1913 Suppl.]