Sheldon says much blood was shed between Catholics and Baptists in the 15th century. But the first Baptist church was not founded until 1609 in Holland. He should be saying Catholics and Protestants.
Living parents of an infant must consent for a child to be baptized in the Roman Catholic Church.
Baptists practice full-emersion baptism when children are able to articulate their acceptance of Jesus Christ.
Priests are not the only people who can conduct baptisms in Catholicism. Other Catholics who are not part of the clergy can conduct baptisms if necessary.