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]

Moby Thesaurus II by Grady Ward, 1.0:

65 Moby Thesaurus words for "heritage":
   Altmann theory, DNA, De Vries theory, Galtonian theory,
   Mendelianism, Mendelism, RNA, Verworn theory, Weismann theory,
   Weismannism, Wiesner theory, allele, allelomorph, bequeathal,
   bequest, birth, birthright, borough-English, character, chromatid,
   chromatin, chromosome, coheirship, coparcenary, determinant,
   determiner, diathesis, endowment, entail, estate, eugenics, factor,
   gavelkind, gene, genesiology, genetic code, genetics, heirloom,
   heirship, hereditability, hereditament, heredity, heritability,
   heritable, heritance, inborn capacity, incorporeal hereditament,
   inheritability, inheritance, law of succession, legacy,
   line of succession, matrocliny, mode of succession, patrimony,
   patrocliny, pharmacogenetics, postremogeniture, primogeniture,
   recessive character, replication, reversion, succession, tradition,
   ultimogeniture



Bouvier's Law Dictionary, Revised 6th Ed (1856):

HERITAGE. By this word is understood, among the civilians, every species of
immovable which can be the subject of property, such as lands, houses,
orchards, woods, marshes, ponds, &c., in whatever mode they may have been
acquired, either by descent or purchase. 3 Toull. 472. It is something that
can be inherited. Co. Litt. s. 731.