Augustine who, in the fifth century, formulated from previously conceived theories the dogma of original sin and baptismal regeneration, was himself educated a Pagan and was well versed in that culture, and it impressed itself upon his writings and the church which adopted them.
The little children which Jesus took in his arms and blessed and to whom he compared the heavenly kingdom were Jews, and Jews did not baptize their children.
That, same loving Jesus, who blessed those children in Judea, we do believe now blesses our little ones and is watching over them for good and that to these also the heavenly kingdom is compared. To His tender care and keeping we reverently commit ourselves and them, and we do feel that for us it would be sinful to distrust this loving Saviour and turn to man for carnal baptism.
Justin Martyr, a prominent Christian writer of the second century said to Typho (a Jew): “John was a prophet among your nation after which no other appeared among you. He cried as he sat by the River Jordan: I baptize you with water to repentance but he that is stronger than I shall come whose shoes I am not worthy to bear. He shall baptize you with the Holy Spirit and with fire.”
In all the scriptures from Genesis to Revelations we find no intimation of any other Christian baptism, only this one baptism of the Holy Spirit.
Feet washing was administered by Christ  and impressively commended to his disciples but it is plainly not the one baptism of the gospel.
From time immemorial some Pagans all around the world baptized with water.
By the law given through Moses the Jews baptized with water.
John the Baptist was sent to baptize Jews with water. But no one was sent to Baptize us Gentiles with water. God sent his son to baptize us with the Holy Spirit. All flesh, Jews and Gentiles, are objects of this one baptism.
This is the one baptism of the Gospel and we know of no other.
[Footnote 48: Bancroft’s Native Races; Vol. 2, P. 260; Vol. 2, P. 269; Vol. 2, P. 282]
[Footnote 49: Vol. 3, P. 370]
[Footnote 50: Under Baptism]
[Footnote 51: Mat. 15.2, 3; Mark 7.5, 9]
[Footnote 52: Mat. 3.5, 6]
[Footnote 53: The Jewish People in the time of Christ Vol. 2, P. 320]
[Footnote 54: Christian Institutions P. 6]
[Footnote 55: Primitive Culture by Tylor Vol. 2, P. 440; Vol. 2, P. 441]
[Footnote 56: Heb. 9.10; Gal. 4.9]
[Footnote 57: Jon. 13.4, 17]
[Footnote 58: Acts 1.5; Acts 11.16]
[Footnote 59: Epistle of Jon. 4.8, 16; Mat. 18.2, 4; Mark 10.13, 16; Luke 18.16]
[Footnote 60: Britanica]
[Footnote 61: Mark 10.13, 16; Luke 18.16]
[Footnote 62: Ante-Nicene Fathers Vol. 1, P. 219]