The Collaborative International Dictionary of English v.0.48:

Reedy \Reed"y\ (r[=e]d"[y^]), a.
   1. Abounding with reeds; covered with reeds. "A reedy pool."
      --Thomson .
      [1913 Webster]

   2. Having the quality of a reed in tone, that is, harsh and
      thin, as some voices.
      [1913 Webster]

WordNet (r) 3.0 (2006):

reedy
    adj 1: having a tone of a reed instrument [syn: reedy,
           wheezy]
    2: resembling a reed in being upright and slender [syn: reedy,
       reedlike]

U.S. Gazetteer Places (2000):

Reedy, WV -- U.S. town in West Virginia
   Population (2000):    198
   Housing Units (2000): 116
   Land area (2000):     0.220733 sq. miles (0.571697 sq. km)
   Water area (2000):    0.000000 sq. miles (0.000000 sq. km)
   Total area (2000):    0.220733 sq. miles (0.571697 sq. km)
   FIPS code:            67660
   Located within:       West Virginia (WV), FIPS 54
   Location:             38.898895 N, 81.427037 W
   ZIP Codes (1990):     25270
   Note: some ZIP codes may be omitted esp. for suburbs.
   Headwords:
    Reedy, WV
    Reedy