The Collaborative International Dictionary of English v.0.48:

Heritage \Her"it*age\, a. [OE. heritage, eritage, OF. heritage,
   eritage, F. h['e]ritage, fr. h['e]riter to inherit, LL.
   heriditare. See Hereditable.]
   1. That which is inherited, or passes from heir to heir;
      inheritance.
      [1913 Webster]

            Part of my heritage,
            Which my dead father did bequeath to me. --Shak.
      [1913 Webster]

   2. (Script.) A possession; the Israelites, as God's chosen
      people; also, a flock under pastoral charge. --Joel iii.
      2. --1 Peter v. 3.
      [1913 Webster]

WordNet (r) 3.0 (2006):

heritage
    n 1: practices that are handed down from the past by tradition;
         "a heritage of freedom"
    2: any attribute or immaterial possession that is inherited from
       ancestors; "my only inheritance was my mother's blessing";
       "the world's heritage of knowledge" [syn: inheritance,
       heritage]
    3: that which is inherited; a title or property or estate that
       passes by law to the heir on the death of the owner [syn:
       inheritance, heritage]
    4: hereditary succession to a title or an office or property
       [syn: inheritance, heritage]