The Collaborative International Dictionary of English v.0.48:

Extol \Ex*tol"\, v. t. [imp. & p. p. Extolled; p. pr. & vb. n.
   Extolling.] [L. extollere; ex out + tollere to lift, take
   up, or raise: cf. OF. extoller. See Tollerate, and cf.
   Flate.]
   1. To place on high; to lift up; to elevate. [Obs.]
      [1913 Webster]

            Who extolled you in the half-crown boxes,
            Where you might sit and muster all the beauties.
                                                  --Beau. & Fl.
      [1913 Webster]

   2. To elevate by praise; to eulogize; to praise; to magnify;
      as, to extol virtue; to extol an act or a person.
      [1913 Webster]

            Wherein have I so deserved of you,
            That you extol me thus?               --Shak.

   Syn: To praise; applaud; commend; magnify; celebrate; laud;
        glorify. See Praise.
        [1913 Webster]

WordNet (r) 3.0 (2006):

extol
    v 1: praise, glorify, or honor; "extol the virtues of one's
         children"; "glorify one's spouse's cooking" [syn: laud,
         extol, exalt, glorify, proclaim]

Moby Thesaurus II by Grady Ward, 1.0:

46 Moby Thesaurus words for "extol":
   acclaim, adulate, apotheosize, applaud, belaud, bepraise, bless,
   bless the Lord, blow up, boast of, brag about, celebrate, cheer,
   commend, compliment, congratulate, cry up, deify, doxologize,
   elevate, emblazon, eulogize, exalt, flatter, glorify,
   glorify the Lord, hero-worship, honor, hymn, idolize, laud,
   lionize, magnify, make much of, overpraise, panegyrize,
   pay tribute, porter aux nues, praise, praise God, puff, puff up,
   salute, sing praises, trumpet, uplift