The seraphim do not have names. In the Old Testament book of Isaiah, the seraphim (pl.; seraph, sing.) are angelic beings that hover around the throne of God, singing praises.
I saw the Lord sitting upon a throne, high and lifted up; and His train filled the sanctuary. Above Him stood the Seraphim; each had six wings: with two he covered his face, and with two he covered his feet, and with two he flew. (Isa 6:1-3)
They must be a strange sight to see because each has 3 sets of wings: 1 used to fly, 1 used to cover their faces, and 1 used to cover their feet. Before Isaiah could begin his prophetic ministry, he had to be purified. This was done by a seraph, who touched a burning coal to Isaiah's lips to cleanse him.
The seraphim are not named in the Bible. They exist to worship and praise God. The book of Revelation notes that they are always in the presence of God, "Day and night they never stop saying: 'Holy, holy, holy is the Lord God Almighty, who was, and is, and is to come' " (Rev 4:8).
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Michael, Gabriel, Raphael and I don't know the other one.
I have heard three seraphim names: Seraphiel, Jehoel, Metatron.
Though this is not 100% confirmed, since different sources use different names. Some even suggest that Michael was a Seraphim, even though he is known as an Archangel so it is quite confusing :S
Actually Linda-allen is incorrect. You may not know but in the early years of judisim several books were removed from the Torah, and in turn the old testemant of the bible. The main reason these books were removed was for naming angels. Now I don't remember the name of all the angels but the ones I do remember are Seraphiel(leader of the Seraphim), Micheal, Gabriel, and Lucifer. I believe there are three more and Sammeal or Azreal might be ones, but I cant be for certain. I don't have links but I have seen a documentary on the history channel about it. Don't know if its on youtube but if it is, check it out