From The Collaborative International Dictionary of English v.0.48:
Crow \Crow\ (kr[=o]), v. i. [imp. Crew (kr[udd]) or Crowed
(kr[=o]d); p. p. Crowed (Crown (kr[=o]n), Obs.); p. pr. &
vb. n. Crowing.] [AS. cr[=a]wan; akin to D. kraijen, G.
kr[aum]hen, cf. Lith. groti to croak. [root]24. Cf. Crake.]
1. To make the shrill sound characteristic of a cock, either
in joy, gayety, or defiance. "The cock had crown."
--Bayron.
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The morning cock crew loud. --Shak.
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2. To shout in exultation or defiance; to brag.
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3. To utter a sound expressive of joy or pleasure.
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The sweetest little maid,
That ever crowed for kisses. --Tennyson.
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To crow over, to exult over a vanquished antagonist.
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Sennacherib crowing over poor Jerusalem. --Bp. Hall.
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From The Collaborative International Dictionary of English v.0.48:
crowing \crowing\ adj.
1. same as bragging.
Syn: boastful, braggart(prenominal), bragging(prenominal),
braggy, big, cock-a-hoop, self-aggrandizing,
vainglorious.
[WordNet 1.5]