The word 'wooly' is a straightforward English formation, combining the concrete noun 'wool' with the adjectival suffix '-y'. Its primary, literal meaning of "resembling or made of wool" has been in use since the Middle English period. The term 'wool' itself traces back to Proto-Germanic 'wullō', which is derived from the Proto-Indo-European root 'welH-', meaning "to tear, pull", reflecting the ancient process of plucking or shearing animal fleece. By the 19th century, the physical characteristic of wool's soft, tangled, and indistinct texture was metaphorically extended to describe vague, muddled, or imprecise thoughts and reasoning, giving rise to the word's common figurative sense.

Structure: wool (fibre) + y (adjective-forming suffix) - wool: From Old English 'wull', of Germanic origin; related to Dutch 'wol' and German 'Wolle'. The core material/substance. - y: A productive English suffix from Old English '-ig', used to form adjectives meaning "characterized by" or "full of".