Why was Abraham's servant's name not recorded in Genesis 24?
It is undeniable that God orchestrated the events recorded for us in this narrative. It may be that, contrary to our initial assumption, the servant was not Eliezer (Gen. 15:2). The reason for this is, just as Abraham was advanced in age -- indeed, on the verge of death, so too would be Eliezer.
This becomes evident as we consider just how difficult a journey this would have been for an aged Eliezer, someone whose health and vitality had probably declined as much or more than Abraham's, assuming the man was still alive.
Once source commented that the servant's name was "Put." Why? Because some texts read:
Genesis 24:1-3: "And Abraham was old, and well stricken in age. And Jehovah had blessed Abraham in all things.
2And Abraham said unto his servant, the elder of his house, that ruled over all that he had, Put, I pray thee, thy hand under my thigh [loins].
3And I will make thee swear by Jehovah, the God of heaven and the God of the earth..." (emphasis added).
That the name "Put" (capitalized, w/o quotes) is suggested at all is preposterous (the rest of the clause makes no sense). The argument has been made here only in jest.
There are other very interesting aspects about this story. The woman selected by the servant to be Isaac's wife had to be willing to come, just as the faithful (the Church) must be willing:
Genesis 24:5-8: "The servant said to him, 'Suppose the woman is not willing to follow me to this land; should I take your son back to the land from where you came?' Then Abraham said to him, 'Beware that you do not take my son back there! The LORD, the God of heaven, who took me from my father’s house and from the land of my birth, and who spoke to me and who swore to me, saying, "To your descendants I will give this land," He will send His angel before you, and you will take a wife for my son from there. But if the woman is not willing to follow you, then you will be free from this my oath; only do not take my son back there” (NAS, emphasis added).
Note how Abraham is adamant that his son Isaac have nothing to do with Canaan. It is likely that, just as Egypt typified "sin" in Exodus, Canaan was also a type of "sin" in the time of Abraham (this may be obvious). The fact that the text is consistently silent about the servant's name is highly unusual; there is undoubtedly a very good reason. One scholar, Merrill F. Unger, suggests:
"This unnamed servant furnishes a picture of the Holy Spirit, who takes treasures of the bridegroom to win the Bride, who enriches the Bride with gifts, and brings the Bride to the Bridegroom. Rebekah prefigures the Church, and Isaac typifies Christ." (Unger's Commentary on the Old Testament)
The only test the servant expected the chosen woman to pass was that of her character and attitude toward him (just as it is with the faithful). And, as with Christ, Isaac does not personally, visibly pursue the woman. The Agent through whom that occurs is the Holy Spirit ("His Angel"), just as this Being is sent as in John's Gospel:
John 14:16-17: “I will ask the Father, and He will give you another Helper, that He may be with you forever; that is the Spirit of truth, whom the world cannot receive, because it does not see Him or know Him, but you know Him because He abides with you and will be in you."
There are many profound elements to this story. As with much of Abraham's life, this account seems to parallel Christ and the Church.