The name Woody is a boy's name . Woody and is often added to lists like Rustic Baby Names and discussed in our forums with posts like "Love, Like, Lose... Name Game- BOYS".
From the experts:
While Woodrow is too forbidding, its nickname Woody is a bit cartoonish, as in Woody Woodpecker and the animated cowboy character in Toy Story. Woody Allen was born Allen.