Synonyms for Woolly-headed (same or very similar meaning)
WordNet sense 1 (confused and vague; used especially of thinking):
befuddled, muddled, woolly, wooly, addled, muzzy, wooly-mindedWordNet sense 2 (mentally confused; unable to think with clarity or act intelligently):
confusedFrom the ODE community, based on WordNetadd/edit