The Collaborative International Dictionary of English v.0.48:

Lot \Lot\, v. t. [imp. & p. p. Lotted; p. pr. & vb. n.
   Lotting.]
   To allot; to sort; to portion. [R.]
   [1913 Webster]

   To lot on or To lot upon, to count or reckon upon; to
      expect with pleasure. [Colloq. U. S.]
      [1913 Webster]