The name Todd is not short for anything. It is a word in its own right. It means "Fox".
The surname, and later given name derives from the Middle English word for Fox (see below).
(see http://wiki.name.com/en/Todd#ORIGIN_AND_HISTORY)
The name Todd originates as a surname deriving from the Middle English "tod" or "todde" meaning "a fox." The surname probably derived to describe those who were fox hunters. In Scottish, the name "Tod" means "clever" or "wily."
Todd Tesen's birth name is Todd Thiessen.
Todd Brodie's birth name is Todd Brodzinski.
Todd Carty's birth name is Todd Jennings.
Todd Hacker's birth name is Todd Michael.
Todd Joseph's birth name is Todd Rudisill.
Todd Grinnell's birth name is Todd A. Grinnell.
Todd Sauerbrun's birth name is Todd Scott Sauerbrun.
Todd Sachs's birth name is Todd Alan Sachs.
Todd Sand's birth name is Sand, Todd Kenneth.
Todd Senofonte's birth name is Todd David Senofonte.
Todd Shumpert's birth name is Todd Daniel Shumpert.
Todd Sible's birth name is Todd Steven Sible.