Who speaks about removing? I like riddles and I'd like even more of them in quests. But maybe those that play around with words and spelling should not be favourised too much (when new ones get into the game), and currently it seems they make up the vast majority.
Oh, and these are chestnuts:
(http://upload.wikimedia.org/wikipedia/commons/thumb/3/31/Chestnuts02.jpg/180px-Chestnuts02.jpg)
Also note that chest has two meanings, "big box" and the upper front part of your torso. "To put hair on your chest" is an idiom which may be regional.
P.S. Also note that culture is regional. I never heard this riddle in any language. Neither I can find it anywhere on the web. (Although it's not too hard to solve, but the point is there is more than one solution).