"wild and wooly" from wild and wooly (1884) applied to the U.S. western frontier, perhaps in reference to range steers or to unkempt cowboys.
"wool gathering" 1550s, "indulging in wandering fancies and purposeless thinking," from the lit. meaning "gathering fragments of wool torn from sheep by bushes, etc."
'pulling wool over someone's eyes" Meaning: To deceive, to hoodwink. Origin: The natural assumption is that this phrase derives from the wearing of woollen wigs, which were fashionable for both men and women in the 16th and 17th centuries. The phrase itself is of 19th century American origin.
'dyed in the wool' Meaning: An individual with fixed, dedicated, committed, uncompromising, deep felt beliefs. Example: Jean Chretien was a dyed-in-the-wool Liberal. Why not, with all the patronagemoney to made in federal politics? Origin: The phrase relates to the medieval method of adding dye to raw wool rather than to spun wool or finished cloth. The final colour was much more long lasting and deeply ingrained than dyeing at later stages of manufacture. If something is dyed-in-the-wool, it's unlikely to change.