The Collaborative International Dictionary of English v.0.48:

Stovepipe \Stove"pipe`\ (st[=o]v"p[imac]p`), n.
   Pipe made of sheet iron in length and angular or curved
   pieces fitting together, -- used to connect a portable stove
   with a chimney flue.
   [1913 Webster]

   Stovepipe hat, A tall silk hat with a brim, worn commonly
      as an item of formal dress by gentlemen in the late
      1800's. [Slang, U.S.]
      [1913 Webster +PJC]