Pope Silvester I did NOT baptize Constantine. We know that Constantine the Great was actually not baptized until he was on his deathbed in 337, and Silvester himself died in 335, around two years before that. The idea that he baptized Constantine was invented in legends several centuries later. These legends contributed to the spread of the name, but today we know they were false, probably created to help promote the supremacy of the Bishop of Rome as the head of the entire church.