Jesus said one must be born again, not baptized. Associating the two is bad proof texting. To be born again looks from the text of the Gospel to be radicalized into the Kingdom of God, which is an adult outlook, not a Sacrament. Many Catholics are not radicalized that way, including many of our beloved trolls. Until recently, the Church taught that unbapitzed babies went to Limbo, where they would be physically comfortable forever but never encounter the grace of God. This also applied to the unborn, (even though you cannot born again if you were never born in the first place). Most modern theologians consider the idea of Limbo quaint and not serious. Of course, this question can never be verified in this life and it has never been addressed in Dogma, although some Doctrine speculates on it, but that is only speculation.