On page 162 of The Cambridge History of Christianity: Origins to Constantine, Wayne Meeks says the following:
"Although
 three of the four canonical gospels recount Jesus' own baptism by John,
 it is not connected expressly with Christian baptism until the early 
second century, when Ignatius says that Jesus was baptised 'in order to 
purify the water by his own submission [or suffering]' (Ign. Eph. 18.2)."
The
 reason that this passage stood out to me is that I have wondered about 
the relationship between the baptisms conducted by John the Baptist and 
those conducted by early Christianity.  As Meeks goes on to document, 
early Christianity viewed baptism as a time when the initiate was united
 with Christ in his death and resurrection, resulting in a new person.  
But did it believe that John the Baptist's baptisms had this 
significance, when they occurred way before Christ's death and 
resurrection?  This question first entered my mind when I was 
following debates about whether or not baptism is required for 
salvation.  People who answer "no" appeal to the thief on the cross as 
one who was saved without being baptized.  There are a variety of 
responses to this argument from those who answer "yes", but one that 
I've heard is that we do not know for sure that the thief was not 
baptized.  After all, John the Baptist performed baptisms, as did Jesus'
 disciples.  But did such baptisms result in the death of the old man 
and the birth of a new one?  And if early Christianity's baptisms were 
the first to have this significance, then perhaps people before the 
death and resurrection of Jesus could be saved apart from water baptism.
I can't say that I understand what Ignatius is saying.  Is
 Ignatius' point that Jesus, by submitting to John's baptism, was 
purifying the waters of John's baptism such that they could bring 
forgiveness of sin?  Or is his point that Jesus' passion----which was 
yet to come----was being retroactively applied to the waters of John's 
baptism when Jesus was baptized, thereby purifying them?  Or is Ignatius
 saying that Jesus purified the ritual of baptism itself----not so much 
John's baptism?  In this scenario, baptism before Jesus' death 
accomplished something, but it was imperfect.  Jesus, by his death and 
resurrection, made baptism into a ritual of death and rebirth, meaning 
that Christian baptism was an improvement upon John's baptism.
In
 the Gospels and Acts, could John's baptism have anything to do with the
 death and resurrection of Jesus, or Jesus, period?  The synoptics 
present baptism as a ritual that brings forgiveness, but there is no 
reference to being united with Christ in his death and resurrection.  In
 the Gospel of John, John the Baptist appears to be aware that Jesus 
will die, for he calls Jesus the lamb of God who takes away the sin of 
the world.  I realize that there is debate about whether John's Gospel 
is anti-ritual, and that the Gospel of John does not mention the 
significance of John's baptism, but I can understand why one could argue
 that John the Baptist in John's Gospel baptizes in light of the coming 
death of Christ.
In Acts 19, Paul appears to re-baptize people who
 had only received John the Baptist's baptism.  E.W. Bullinger, however,
 interprets Acts 19 differently.  He thinks that v 5 is still part of 
Paul's speech: that Paul is saying that people were baptized by John in 
the name of Jesus.  This may or may not make sense, but there is a sense
 in which Jesus was relevant to John's baptism, for John in the synoptic
 Gospels was baptizing people in preparation for the coming of Jesus.  
At the same time, if the people being baptized by John knew about the 
significance of Jesus, why do Acts 18-19 present people who only 
received John's baptism as essentially clueless about Jesus, which was 
why they needed to be instructed by Christians?