The Collaborative International Dictionary of English v.0.48:

Properly \Prop"er*ly\, adv.
   [1913 Webster]
   1. In a proper manner; suitably; fitly; strictly; rightly;
      as, a word properly applied; a dress properly adjusted.
      --Milton.
      [1913 Webster]

   2. Individually; after one's own manner. [Obs.]
      [1913 Webster]

            Now, harkeneth, how I bare me properly. --Chaucer.
      [1913 Webster]

WordNet (r) 3.0 (2006):

properly
    adv 1: in the right manner; "please do your job properly!";
           "can't you carry me decent?" [syn: properly,
           decently, decent, in good order, right, the
           right way] [ant: improperly]
    2: with reason or justice [syn: by rights, properly]