The Collaborative International Dictionary of English v.0.48:

Woo \Woo\, v. t. [imp. & p. p. Wooed; p. pr. & vb. n.
   Wooing.] [OE. wowen, wo?en, AS. w?gian, fr. w?h bent,
   crooked, bad; akin to OS. w[=a]h evil, Goth. unwahs
   blameless, Skr. va?c to waver, and perhaps to E. vaccilate.]
   [1913 Webster]
   1. To solicit in love; to court.
      [1913 Webster]

            Each, like the Grecian artist, wooes
            The image he himself has wrought.     --Prior.
      [1913 Webster]

   2. To court solicitously; to invite with importunity.
      [1913 Webster]

            Thee, chantress, oft the woods among
            I woo, to hear thy even song.         --Milton.
      [1913 Webster]

            I woo the wind
            That still delays his coming.         --Bryant.
      [1913 Webster]

WordNet (r) 3.0 (2006):

wooing
    n 1: a man's courting of a woman; seeking the affections of a
         woman (usually with the hope of marriage); "its was a brief
         and intense courtship" [syn: courtship, wooing,
         courting, suit]

Moby Thesaurus II by Grady Ward, 1.0:

50 Moby Thesaurus words for "wooing":
   addresses, agacerie, allure, allurement, amorous pursuit, appeal,
   attraction, attractiveness, beguilement, beguiling, bewitchery,
   bewitchment, blandishment, cajolery, canvass, captivation,
   charisma, charm, charmingness, come-hither, court, courting,
   enchantment, enthrallment, enticement, entrapment, fascination,
   flirtation, forbidden fruit, gallantry, glamour, inducement,
   interest, inveiglement, invitation, magnetism, seducement,
   seduction, seductiveness, serenade, sex appeal, snaring,
   solicitation, suing, suit, tantalization, temptation, winning ways,
   winsomeness, witchery