subs. phr. (old colloquial).A pipe. [Early pipes were frequently so fashioned.]
1599. JONSON, Every Man out of his Humour, iii. 3. Sav. O peace, I pray you, I love not the breath of a WOODCOCKS HEAD. Fastid. Meaning my head, lady? [i.e., meaning to call me a fool?] Sav. Not altogether so, sir; but as it were fatal to their follies that think to grace themselves with taking tobacco, when they want better entertainment, you see your pipe bears the true form of a WOOD-COCKS HEAD.