The Collaborative International Dictionary of English v.0.48:

Befog \Be*fog"\, v. t. [imp. & p. p. Befogged; p. pr. & vb. n.
   Befogging.]
   1. To involve in a fog; -- mostly as a participle or part.
      adj.
      [1913 Webster]

   2. Hence: To confuse; to mystify.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

befogged \befogged\ adj.
   confused and vague; used especially of thinking. a mind
   befogged with drink

   Syn: addled, befuddled, muddled, muzzy, unclear, woolly,
        wooly, woolly-headed, wooly-minded.
        [WordNet 1.5]

WordNet (r) 3.0 (2006):

befogged
    adj 1: stupefied by alcoholic drink; "the wino's poor befuddled
           mind"; "a mind befogged with drink" [syn: befogged,
           befuddled]