The Collaborative International Dictionary of English v.0.48:

Tivoli \Tiv"o*li\, n. [Prob. fr. Tivoli in Italy, a pleasure
   resort not far from Rome.]
   A game resembling bagatelle, played on a special oblong board
   or table (

   Tivoli board or Tivoli table), which has a curved upper
      end, a set of numbered compartments at the lower end, side
      alleys, and the surface studded with pins and sometimes
      furnished with numbered depressions or cups.
      [Webster 1913 Suppl.]

WordNet (r) 3.0 (2006):

Tivoli
    n 1: a town twenty miles to the east of Rome (Tibur is the
         ancient name); a summer resort during the Roman empire;
         noted for its waterfalls [syn: Tivoli, Tibur]

U.S. Gazetteer Places (2000):

Tivoli, NY -- U.S. village in New York
   Population (2000):    1163
   Housing Units (2000): 531
   Land area (2000):     1.756450 sq. miles (4.549184 sq. km)
   Water area (2000):    0.030812 sq. miles (0.079803 sq. km)
   Total area (2000):    1.787262 sq. miles (4.628987 sq. km)
   FIPS code:            74023
   Located within:       New York (NY), FIPS 36
   Location:             42.059370 N, 73.910663 W
   ZIP Codes (1990):     12583
   Note: some ZIP codes may be omitted esp. for suburbs.
   Headwords:
    Tivoli, NY
    Tivoli