The Collaborative International Dictionary of English v.0.48:

Elaine \E*la"ine\, or Elain \E*la"in\, n. [Gr. ? olive oil, oil,
   from ? the olive tree: cf. F. ['e]la["i]ne.] (Chem.)
   Same as Olein.
   [1913 Webster]

U.S. Gazetteer Places (2000):

Elaine, AR -- U.S. city in Arkansas
   Population (2000):    865
   Housing Units (2000): 356
   Land area (2000):     0.501229 sq. miles (1.298176 sq. km)
   Water area (2000):    0.000000 sq. miles (0.000000 sq. km)
   Total area (2000):    0.501229 sq. miles (1.298176 sq. km)
   FIPS code:            20950
   Located within:       Arkansas (AR), FIPS 05
   Location:             34.308595 N, 90.854201 W
   ZIP Codes (1990):     72333
   Note: some ZIP codes may be omitted esp. for suburbs.
   Headwords:
    Elaine, AR
    Elaine