The Collaborative International Dictionary of English v.0.48:

longbeard \longbeard\ n.
   a fat-bellied stoneware drinking jug with a long neck;
   decorated with a caricature of Cardinal Bellarmine (17th
   century).

   Syn: bellarmine, graybeard.
        [WordNet 1.5]

The Collaborative International Dictionary of English v.0.48:

Bellarmine \Bel"lar*mine\, n.
   A stoneware jug of a pattern originated in the neighborhood
   of Cologne, Germany, in the 16th century. It has a bearded
   face or mask supposed to represent Cardinal Bellarmine, a
   leader in the Roman Catholic Counter Reformation, following
   the Reformation; -- called also graybeard, longbeard.
   [Webster 1913 Suppl.]

WordNet (r) 3.0 (2006):

long-beard
    n 1: a stoneware drinking jug with a long neck; decorated with a
         caricature of Cardinal Bellarmine (17th century) [syn:
         bellarmine, longbeard, long-beard, greybeard]