The Collaborative International Dictionary of English v.0.48:

Nap \Nap\ (n[a^]p), v. i. [imp. & p. p. Napped (n[a^]pt); p.
   pr. & vb. n. Napping (n[a^]p"p[i^]ng).] [OE. nappen, AS.
   hn[ae]ppian to take a nap, to slumber; cf. AS. hnipian to
   bend one's self, Icel. hnipna, hn[imac]pa, to droop.]
   1. To have a short sleep; to be drowsy; to doze. --Chaucer.
      [1913 Webster]

   2. To be in a careless, secure state; to be unprepared; as,
      to be caught napping. --Wyclif.
      [1913 Webster +PJC]

            I took thee napping, unprepared.      --Hudibras.
      [1913 Webster]

WordNet (r) 3.0 (2006):

napped
    adj 1: (of fabrics) having soft nap produced by brushing; "a
           dress of brushed cotton"; "a fleecy lining"; "napped
           fabrics" [syn: brushed, fleecy, napped]