The Branding Iron is a tool used for branding cows, however its purpose in The Sims 2 was to destroy the Prime Heifer. When Horus Menhoset IX asks you to find the Branding Iron, Jebediah S. Jerky says that he last saw it down at Strangetown Jail, where it is located near the Sheriff's desk. After destroying the prime heifer with it, a new Egyptian Statue appears there. The Branding Iron is only mentioned in that part of the story, and isn't a vital element, however it does link to the recurring appearances of cows.