The Collaborative International Dictionary of English v.0.48:

Nappy \Nap"py\, a. [From 1st Nap.]
   1. Inclined to sleep; sleepy; as, to feel nappy.
      [1913 Webster]

   2. Tending to cause sleepiness; serving to make sleepy;
      strong; heady; as, nappy ale. [Obs.] --Wyatt.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Nappy \Nap"py\, a. [From 3d Nap.]
   Having a nap or pile; downy; shaggy. --Holland.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Nappy \Nap"py\, n.; pl. Nappies. [OE. nap, AS. hnaep cup,
   bowl. See Hanaper.]
   A round earthen dish, with a flat bottom and sloping sides.
   [Written also nappie.]
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

nappy \nap"py\, n.; pl. nappies.
   A diaper[4]. [Chiefly Brit.]
   [PJC]

WordNet (r) 3.0 (2006):

nappy
    adj 1: (of hair) in small tight curls [syn: crisp, frizzly,
           frizzy, kinky, nappy]
    n 1: garment consisting of a folded cloth drawn up between the
         legs and fastened at the waist; worn by infants to catch
         excrement [syn: diaper, nappy, napkin]

Moby Thesaurus II by Grady Ward, 1.0:

53 Moby Thesaurus words for "nappy":
   addled, beery, bemused, besotted, blind drunk, crapulent,
   crapulous, dizzy, downy, drenched, drunk, drunken, far-gone,
   feathery, flossy, fluffy, flustered, fou, full, furry, fuzzy, gay,
   giddy, glorious, happy, hirsute, in liquor, inebriate, inebriated,
   inebrious, intoxicated, jolly, knobbed, maudlin, mellow, merry,
   muddled, nubbly, nubby, peachy, pily, pinnate, pitted, reeling,
   shaggy, shikker, sodden, sotted, studded, tiddly, tipsy,
   under the influence, velvety