The Collaborative International Dictionary of English v.0.48:

Paddy \Pad"dy\, n.; pl. Paddies. [Corrupted fr. St. Patrick,
   the tutelar saint of Ireland.]
   A jocose or contemptuous name for an Irishman; -- usually
   considered offensive. [Obsolescent]
   [1913 Webster +PJC]

The Collaborative International Dictionary of English v.0.48:

Paddy \Pad"dy\, n. [Either fr. Canarese bhatta or Malay
   p[=a]d[imac].] (Bot.)
   Unhusked rice; -- commonly so called in the East Indies.
   [1913 Webster]

   Paddy bird. (Zool.) See Java sparrow, under Java.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Paddy \Pad"dy\, a. [Prov. E. paddy worm-eaten.]
   Low; mean; boorish; vagabond. "Such pady persons." --Digges
   (1585). "The paddy persons." --Motley.
   [1913 Webster]

WordNet (r) 3.0 (2006):

Paddy
    n 1: (ethnic slur) offensive term for a person of Irish descent
         [syn: Paddy, Mick, Mickey]
    2: an irrigated or flooded field where rice is grown [syn:
       paddy, paddy field, rice paddy]
    3: rice in the husk either gathered or still in the field

Moby Thesaurus II by Grady Ward, 1.0:

27 Moby Thesaurus words for "paddy":
   bluebottle, bobby, bull, clearing, constable, copper, corn field,
   cultivated land, field, fit, fit of temper, flatfoot, gendarme,
   hayfield, officer, parcel of land, patch, peeler, piece of land,
   plat, plot, rage, rice paddy, tantrum, tract, wax, wheat field