The correct way to write someone’s nickname in an obituary is to write his first name, then his nickname in quotes, and then his last name.
For instance, Theron “Pud” Barnett or George “Babe” Ruth or Henry “Hank” Aaron. For a woman, it can be a bit trickier if you need to list her a nickname and a maiden name. The format of a woman’s name would be: first name, nickname in quotes, maiden last name in parenthesis and then married last name. For example, Vanita “Maxine” (Drake) Barnett.