The Apostolic Tradition was the work of Hippolytus, written somewhere between 215 and 400 AD. Recent scholars seem to take the later date (source). The whole writing can be found here: Apostolic Tradition.
Among the 'oddities' of this Tradition, seems to be that people were baptized 'nude', which I assume means that only deaconesses were overseeing the baptism of woman. Am I reading this correctly, or not?
21 At the hour in which the cock crows, they shall first pray over the water. 2When they come to the water, the water shall be pure and flowing, that is, the water of a spring or a flowing body of water. 3Then they shall take off all their clothes. 4The children shall be baptized first. All of the children who can answer for themselves, let them answer. If there are any children who cannot answer for themselves, let their parents answer for them, or someone else from their family. 5After this, the men will be baptized. Finally, the women, after they have unbound their hair, and removed their jewelry. No one shall take any foreign object with themselves down into the water. (Hippolytus, The Apostolic Tradition)