The Collaborative International Dictionary of English v.0.48:

Jasmine \Jas"mine\, n. [F. jasmin, Sp. jazmin, Ar.
   y[=a]sm[imac]n, Pers. y[=a]sm[imac]n; cf. It. gesmino,
   gelsomino. Cf. Jessamine.] (Bot.)
   A shrubby plant of the genus Jasminum, bearing flowers of a
   peculiarly fragrant odor. The Jasminum officinale, common
   in the south of Europe, bears white flowers. The Arabian
   jasmine is Jasminum Sambac, and, with Jasminum
   angustifolia, comes from the East Indies. The yellow false
   jasmine in the Gelseminum sempervirens (see Gelsemium).
   Several other plants are called jasmine in the West Indies,
   as species of Calotropis and Faramea. [Written also
   jessamine.]
   [1913 Webster]

   Cape jasmine, or Cape jessamine, the Gardenia florida,
      a shrub with fragrant white flowers, a native of China,
      and hardy in the Southern United States.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Jessamine \Jes"sa*mine\, n. (Bot.)
   Same as Jasmine.
   [1913 Webster]

WordNet (r) 3.0 (2006):

jessamine
    n 1: a climbing deciduous shrub with fragrant white or yellow or
         red flowers used in perfume and to flavor tea [syn: common
         jasmine, true jasmine, jessamine, Jasminum
         officinale]

U.S. Gazetteer Counties (2000):

Jessamine -- U.S. County in Kentucky
   Population (2000):    39041
   Housing Units (2000): 14646
   Land area (2000):     173.132935 sq. miles (448.412225 sq. km)
   Water area (2000):    1.319831 sq. miles (3.418347 sq. km)
   Total area (2000):    174.452766 sq. miles (451.830572 sq. km)
   Located within:       Kentucky (KY), FIPS 21
   Location:             37.879166 N, 84.587109 W
   Headwords:
    Jessamine
    Jessamine, KY
    Jessamine County
    Jessamine County, KY