Does Calvinism place babies in Hell?

The quote referenced in the OP, in Latin, and English translations:

"Quanquam tenendum est Deum nunquam fuisse passurum ullos infantes occidi, nisi quos iam reprobasset ac destinasset aeternae morti." Opera Calvini Internet Archive

"Although we must recollect that God would never have suffered any infants to be destroyed, except those which He had already reprobated and condemned to eternal death." (trans. Bingham) Google Books

"We may rest assured that God would never have suffered any infants to be slain except those who were already damned and predestined for eternal death." (trans. Harkness) Google Books

"God never suffered any babies to be killed save those whom he had already reprobated and destined to eternal death." (trans. Parker) Google Books