The Collaborative International Dictionary of English v.0.48:
Woo \Woo\, v. t. [imp. & p. p. Wooed; p. pr. & vb. n.
Wooing.] [OE. wowen, wo?en, AS. w?gian, fr. w?h bent,
crooked, bad; akin to OS. w[=a]h evil, Goth. unwahs
blameless, Skr. va?c to waver, and perhaps to E. vaccilate.]
1. To solicit in love; to court.
Each, like the Grecian artist, wooes
The image he himself has wrought. --Prior.
2. To court solicitously; to invite with importunity.
Thee, chantress, oft the woods among
I woo, to hear thy even song. --Milton.
I woo the wind
That still delays his coming. --Bryant.