The Collaborative International Dictionary of English v.0.48:

Besot \Be*sot"\, v. t. [imp. & p. p. Besotted; p. pr. & vb. n.
   Besotting.]
   To make sottish; to make dull or stupid; to stupefy; to
   infatuate.
   [1913 Webster]

         Fools besotted with their crimes.        --Hudibras.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Besotted \Be*sot"ted\, a.
   Made sottish, senseless, or infatuated; characterized by
   drunken stupidity, or by infatuation; stupefied. "Besotted
   devotion." --Sir W. Scott. -- Be*sot"ted*ly, adv. --
   Be*sot"ted*ness, n. --Milton.
   [1913 Webster]

WordNet (r) 3.0 (2006):

besotted
    adj 1: very drunk [syn: besotted, blind drunk, blotto,
           crocked, cockeyed, fuddled, loaded, pie-eyed,
           pissed, pixilated, plastered, slopped, sloshed,
           smashed, soaked, soused, sozzled, squiffy,
           stiff, tight, wet]

Moby Thesaurus II by Grady Ward, 1.0:

97 Moby Thesaurus words for "besotted":
   addled, apish, asinine, batty, beery, befooled, beguiled, bemused,
   blind drunk, brainless, buffoonish, cockeyed, crapulent, crapulous,
   crazy, credulous, daffy, daft, dazed, dizzy, doting, dotty,
   drenched, drunk, drunken, dumb, enamored, far-gone, fatuitous,
   fatuous, fixated, flaky, flustered, fond, fool, foolheaded,
   foolish, fou, fuddled, full, futile, gaga, gay, giddy, glorious,
   goofy, gripped, gulled, happy, held, hung-up, idiotic, imbecile,
   in liquor, inane, inebriate, inebriated, inebrious, inept,
   infatuate, infatuated, insane, intoxicated, jolly, kooky, loony,
   mad, maudlin, mellow, merry, monomaniac, monomaniacal, moronic,
   muddled, nappy, nutty, obsessed, possessed, preoccupied,
   prepossessed, reeling, sappy, screwy, senseless, sentimental,
   shikker, silly, sodden, sotted, stupid, thoughtless, tiddly, tipsy,
   under the influence, wacky, wet, witless