Is not meant here to be a person's actual name, rather, Woody Johnson, describes a hard penis, or a man who has one.
Foxy Chick: Damn! John Doe started taking Viagra last month. Yesterday he was "WoodyJohnson" for about 3 and a half hours. We both came at least 6 times!
Woody got wood is a fan fic where Woody Chan confronts Andy Senppi and mate, as this is happening the other toys join in and pee and then jerk one loose. After this is over all the toys proceed to cram themselves into Andy senppi ass, sadly killing him
Person 1: Have you seenWoody got Wood.
Person 2: No, whats that.
Person 1: This.
Person 2: WTF is this.
Person 1: Hehehehe