Source : Webster's Revised Unabridged Dictionary (1913)

Bill \Bill\, v. i. [imp. & p. p. {Billed}; p. pr. & vb. n.
   {Billing}.]
   1. To strike; to peck. [Obs.]

   2. To join bills, as doves; to caress in fondness. ``As
      pigeons bill.'' --Shak.

   {To bill and coo}, to interchange caresses; -- said of doves;
      also of demonstrative lovers. --Thackeray.

Billing \Bill"ing\, a. & n.
   Caressing; kissing.

Source : WordNet®

billing
     n : request for payment of a debt; "they submitted their charges
         at the end of each month" [syn: {charge}]