To lot on

from 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]