The Collaborative International Dictionary of English v.0.48:

Right \Right\, n. [AS. right. See Right, a.]
   1. That which is right or correct. Specifically:
      (a) The straight course; adherence to duty; obedience to
          lawful authority, divine or human; freedom from guilt,
          -- the opposite of moral wrong.
      (b) A true statement; freedom from error of falsehood;
          adherence to truth or fact.
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                Seldom your opinions err;
                Your eyes are always in the right. --Prior.
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      (c) A just judgment or action; that which is true or
          proper; justice; uprightness; integrity.
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                Long love to her has borne the faithful knight,
                And well deserved, had fortune done him right.
                                                  --Dryden.
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   2. That to which one has a just claim. Specifically:
      (a) That which one has a natural claim to exact.
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                There are no rights whatever, without
                corresponding duties.             --Coleridge.
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      (b) That which one has a legal or social claim to do or to
          exact; legal power; authority; as, a sheriff has a
          right to arrest a criminal.
      (c) That which justly belongs to one; that which one has a
          claim to possess or own; the interest or share which
          anyone has in a piece of property; title; claim;
          interest; ownership.
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                Born free, he sought his right.   --Dryden.
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                Hast thou not right to all created things?
                                                  --Milton.
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                Men have no right to what is not reasonable.
                                                  --Burke.
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      (d) Privilege or immunity granted by authority.
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   3. The right side; the side opposite to the left.
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            Led her to the Souldan's right.       --Spenser.
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   4. In some legislative bodies of Europe (as in France), those
      members collectively who are conservatives or monarchists.
      See Center, 5.
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   5. The outward or most finished surface, as of a piece of
      cloth, a carpet, etc.
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   At all right, at all points; in all respects. [Obs.]
      --Chaucer.

   Bill of rights, a list of rights; a paper containing a
      declaration of rights, or the declaration itself. See
      under Bill.

   By right, By rights, or By good rights, rightly;
      properly; correctly.
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            He should himself use it by right.    --Chaucer.
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            I should have been a woman by right.  --Shak.
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   Divine right, or

   Divine right of kings, a name given to the patriarchal
      theory of government, especially to the doctrine that no
      misconduct and no dispossession can forfeit the right of a
      monarch or his heirs to the throne, and to the obedience
      of the people.

   To rights.
      (a) In a direct line; straight. [R.] --Woodward.
      (b) At once; directly. [Obs. or Colloq.] --Swift.

   To set to rights, To put to rights, to put in good order;
      to adjust; to regulate, as what is out of order.

   Writ of right (Law), a writ which lay to recover lands in
      fee simple, unjustly withheld from the true owner.
      --Blackstone.
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WordNet (r) 3.0 (2006):

by rights
    adv 1: with reason or justice [syn: by rights, properly]