Actually Baptism is the regeneration and rebirth and Chrismation is the seal of the Holy Spirit.
In the very early Church, Chrismation was done with the laying of the hands for the transference of the Holy Spirit (which is still the method of Ordination). Soon after the Church performed it with holy sanctified oil.
Acts 19
19 And it happened, while Apollos was at Corinth, that Paul, having passed through the upper regions, came to Ephesus. And finding some disciples 2 he said to them, “Did you receive the Holy Spirit when you believed?”
So they said to him, “We have not so much as heard whether there is a Holy Spirit.”
3 And he said to them, “Into what then were you baptized?”
So they said, “Into John’s baptism.”
4 Then Paul said, “John indeed baptized with a baptism of repentance, saying to the people that they should believe on Him who would come after him, that is, on Christ Jesus.”
5 When they heard this, they were baptized in the name of the Lord Jesus. 6 And when Paul had laid hands on them, the Holy Spirit came upon them, and they spoke with tongues and prophesied. 7 Now the men were about twelve in all.
Also:
Acts 8
Now when the apostles who were at Jerusalem heard that Samaria had received the word of God, they sent Peter and John to them, 15 who, when they had come down, prayed for them that they might receive the Holy Spirit. 16 For as yet He had fallen upon none of them. They had only been baptized in the name of the Lord Jesus. 17 Then they laid hands on them, and they received the Holy Spirit.
18 And when Simon saw that through the laying on of the apostles’ hands the Holy Spirit was given, he offered them money, 19 saying, “Give me this power also, that anyone on whom I lay hands may receive the Holy Spirit.”
20 But Peter said to him, “Your money perish with you, because you thought that the gift of God could be purchased with money! 21 You have neither part nor portion in this matter, for your heart is not right in the sight of God. 22 Repent therefore of this your wickedness, and pray God if perhaps the thought of your heart may be forgiven you. 23 For I see that you are poisoned by bitterness and bound by iniquity.”
24 Then Simon answered and said, “Pray to the Lord for me, that none of the things which you have spoken may come upon me.”
25 So when they had testified and preached the word of the Lord, they returned to Jerusalem, preaching the gospel in many villages of the Samaritans.