Catholic Typology
Baptism the new Creation
1 Peter 3:20-21 when God's patience waited in the days of Noah, while the ark was being prepared, in which a few, that is, eight persons, were brought safely through water. Baptism, which corresponds to this, now saves you, not as a removal of dirt from the body but as an appeal to God for a good conscience, through the resurrection of Jesus Christ
1 Corinthians 10:1-2 For I want you to know, brothers, that our fathers were all under the cloud, and all passed through the sea, and all were baptised into Moses in the cloud and in the sea
Catechism of the Catholic Church 1217 - 1222
Anointing of Holy Spirit and water: in the beginning the Spirit of God hovering over the waters (Gen 1:2); the dove from Naoh's ark over the flood waters (Gen 8:8-12); the pillar of cloud protecting Israel during the crossing of the Red Sea (Ex 14:19-25); the dove resting on Jesus during his baptism in the River Jordan (Mt 3:16-17); baptism of water and the Spirit (Jn 3:5)
Water to bring death: the flood waters wiped out all living things not in Noah's ark (Gen 7:21-23); the Egyptians killed whilst crossing the Red Sea (Ex 14:26-28); baptism brings communion with Jesus's death (Rom 6:3; Col 2:12) and death to sin (Rom 6:1-11)
Cleansing water: the flood washed away the wickedness of man (Gen 6:11-13); the Israelites crossed the Red Sea to escape the slavery of Pharaoh (Ex 14:15 - 15:21); the River Jordan washed away Naaman’s leprosy (2 Kg 5:9-10); baptism washes away the slavery of sin from Satan (Acts 22:16)
Water to bring new birth: Noah and the flood in the new creation (Gen 7:17 - 8:19); baby Moses was drawn out of the water and saved by Pharaoh's daughter (Ex 2:3-10); Moses with the Israelites crossing the Red Sea in the exodus from slavery to freedom (Ex 14:15-31); Joshua with the Israelites crossing the River Jordan into the promised land (Josh 3:14-17); Naaman’s flesh was restored to that of a little child after washing in the River Jordan (2 Kg 5:14); being born again in water and the Spirit to enter heaven (Jn 3:5)
For infants: baby Moses drawn out of the water (Ex 2:3-10); all the Israelites including children crossing the Red Sea (Ex 14:15-31); infant baptism based on faith of parents (Acts 2:38-39)