The Collaborative International Dictionary of English v.0.48:

Doze \Doze\ (d[=o]z), v. i. [imp. & p. p. Dozed (d[=o]zd); p.
   pr. & vb. n. Dozing.] [Prob. akin to daze, dizzy: cf. Icel.
   d[=u]sa to doze, Dan. d["o]se to make dull, heavy, or drowsy,
   d["o]s dullness, drowsiness, d["o]sig drowsy, AS. dw[=ae]s
   dull, stupid, foolish. [root]71. Cf. Dizzy.]
   To slumber; to sleep lightly; to be in a dull or stupefied
   condition, as if half asleep; to be drowsy.
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         If he happened to doze a little, the jolly cobbler
         waked him.                               --L'Estrange.
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The Collaborative International Dictionary of English v.0.48:

Doze \Doze\, v. t.
   1. To pass or spend in drowsiness; as, to doze away one's
      time.
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   2. To make dull; to stupefy. [Obs.]
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            I was an hour . . . in casting up about twenty sums,
            being dozed with much work.           --Pepys.
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            They left for a long time dozed and benumbed.
                                                  --South.
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The Collaborative International Dictionary of English v.0.48:

Doze \Doze\, n.
   A light sleep; a drowse. --Tennyson.
   [1913 Webster]

WordNet (r) 3.0 (2006):

doze
    n 1: a light fitful sleep [syn: doze, drowse]
    v 1: sleep lightly or for a short period of time [syn: snooze,
         drowse, doze]