Red Grange was so great and popular in college that immediately after signing him as a professional, the Chicago Bears put together a grueling 19-game, 67-day barnstorming tour to make money. This man Red Grange of Illinois is three or four men rolled into one for football purposes, wrote Damon Runyon.
Bud can be a nickname in Irish families, short for Brud (brother). Also supposedly short for Donald. Being a general nickname, short for Buddy is a more modern take on it, which can even be a given name. If you re doing genealogy research, better to research siblings, children, or parents, until you find the given name. Bud is a nickname used since the medieval times.
I think Jude would be a darling nickname for Julius, but as you probably know the nickname really depends on what suits the child. Buddy is a real name in itself. I had a friend and her family did all B names. Billy, Bobbie, Buddy, Bonnie, and I forget the rest of the names. I can be a nickname as well, but as a name it can stand alone. Call him Buddy when he is young, and when he outgrows it, switch to Bud.