This is Wolfe's Father, William Oliver Wolfe. He was known simply as W.O. Gant in Look Homeward, Angel and Of Time and the River.

"...a strange wild form of six feet four with cold uneasy eyes, a great blade of nose, and a rolling tide of rhetoric, a preposterous and comic invective, as formalized as classical epithet, which he used seriously, but with a faint uneasy grin around the corners of his thin wailing mouth.
...He was only past thirty, but he looked much older. His face was yellow and sunken; the waxen blade of his nose looked like a beak. He had long brown mustaches that hung straight down mournfully.
His tremendous bouts of drinking had wrecked his health..."