15 And Eliud begat Eleazar; and Eleazar begat Matthan; and Matthan begat Jacob;
[AD 397] Ambrose of Milan on Matthew 1:12-15
Of whom Jeremiah speaks. Write this man dethroned; for there shall not spring of his seed one sitting on the throne of David. (Jer. 22:30.) How is this said of the Prophet, that none of the seed of Jeconias should reign? For if Christ reigned, and Christ was of the seed of Jeconiah, then has the Prophet spoken falsely. But it is not there declared that there shall be none of the seed of Jeconiah, and so Christ is of his seed; and that Christ did reign, is not in contradiction to the prophecy; for He did not reign with worldly honours, as He said, My kingdom is not of this world. (John 18:36.)

[AD 420] Jerome on Matthew 1:12-15
(Verse 12 and following) And after the Babylonian exile, Jechonias fathered Salathiel. Salathiel fathered Zorobabel. Zorobabel fathered Abiud. Abiud fathered Eliacim. Eliacim fathered Azor. Azor fathered Sadoc. Sadoc fathered Achim. Achim fathered Eliud. Eliud fathered Eleazar. Eleazar fathered Matthan. Matthan fathered Jacob. If we were to place Jechonias at the end of the first fourteen generations, in the next there would not be fourteen but thirteen. Therefore, let us know that Jeconiah is the same person as Joachim, the former being the father and the latter being the son; the former is written with 'c' and 'm', while the latter is written with 'ch' and 'n'. This confusion arose due to errors of the scribes and the passage of time among both the Greeks and the Latins.

[AD 533] Remigius of Rheims on Matthew 1:12-15
He is also Zorobabel, that is, 'the master of confusion,' according to that, Your Master eateth with publicans and sinners. (Matt. 9:11.) He is Abiud, that is, 'He is my Father,' according to that, I and the Father are One. (John 10:30.) He is also Eliacimo, that is, 'God the Reviver,' according to that, I will revive him again in the last day. (John 6:54.) He is also Azor, that is, 'aided,' according to that, He who sent Me is with Me. (John 8:29.) He is also Sadoch, that is, 'the just,' or, 'the justified,' according to that, He was delivered, the just for the unjust. (1 Pet. 3:18.) He is also Achim, that is, 'my brother is He,' according to that, Whoso doeth the will of My Father, he is My brother. (Matt. 12:50.) He is also Eliud, that is, 'He is my God,' according to that, My Lord, and my God. (John 20:28.)

He is also Jacob, 'that supplanteth,' for not only hath He supplanted the Devil, but hath given His power to His faithful people; as, Behold I have given you power to tread upon serpents. (Luke 10:19.) He is also Joseph, that is, 'adding,' according to that, I came that they might have life, and that they might have it abundantly. (John 10:10.)

[AD 856] Rabanus Maurus on Matthew 1:12-15
But let us see what moral signification these names contain. After Jeconias, which means 'the preparation of the Lord,' follows Salathiel, i. e. 'God is my petition,' for he who is rightly prepared, prays not but of God. Again, he becomes Zorobabel, 'the master of Babylon,' that is, of the men of the earth, whom he makes to know concerning God, that He is their Father, which is signified in Abiud. Then that people rise again from their vices, whence follows Eliacim, 'the resurrection;' and thence rise to good works, which is Azor, and becomes Sadoch, i. e. 'righteous;' and then they are taught the love of their neighbour. He is my brother, which is signified in Achim; and through love to God he says of Him, 'My God,' which Eliud signifies. Then follows Eleazar, i. e. 'God is my helper;' he recognizes God as his helper. But whereto he tends is shown in Matthan, which is interpreted 'gift,' or 'giving;' for he looks to God as his benefactor; and as he wrestled with and overcame his vices in the beginning, so he does in the end of life, which belongs to Jacob, and thus he reaches Joseph, that is, 'The increase of virtues.'

[AD 1274] Pseudo-Chrysostom on Matthew 1:12-15
(ubi sup.) After the carrying away, he sets Jeconiah again, as now become a private person.

Concerning Salathiell, we have read nothing either good or bad, but we suppose him to have been a holy man, and in the captivity to have constantly besought God in behalf of afflicted Israel, and that hence he was named Salathiel, 'the petition of Godm.' Salathiel begot Zorobabel, which is interpreted, 'flowing postponed,' or, 'of the confusion,' or here, 'the doctor of Babylonn.' I have read, but know not whether it be true, that both the priestly line and the royal line were united in Zorobabel; and that it was through him that the children of Israel returned into their own country. For that in a disputation held between three, of whom Zorobabel was one, each defending his own opinion, Zorobabel's sentence, that Truth was the strongest thing, prevailed; and that for this Darius granted him that the children of Israel should return to their country; and therefore after this providence of God, he was rightly called Zorobabel, 'the doctor of Babylon.' For what doctrine greater than to show that Truth is the mistress of all things?

[AD 1274] Glossa Ordinaria on Matthew 1:12-15
Morally; After David follows Solomon, which is interpreted, 'peaceful.' For one then becomes peaceful, when unlawful motions being composed, and being as it were already set in the everlasting rest, he serves God, and turns others to Him. Then follows Roboam, that is 'the breadth of the people.' For when there is no longer any thing to overcome within himself, it behoves a man to look abroad to others, and to draw with him the people of God to heavenly things. Next is Abias, that is, 'the Lord Father,' for these things premised, He may proclaim Himself the Son of God, and then He will be Asa, that is, 'raising up,' and will ascend to His Father from virtue to virtue: and He will become Josaphat, that is, 'judging,' for He will judge others, and will be judged of none. Thus he becomes Joram, that is, 'lofty,' as it were dwelling on high; and is made Oziah, that is, 'the strong One of the Lord,' as attributing all his strength to God, and persevering in his path. Then follows Jotham, that is, 'perfect,' for he groweth daily to greater perfection. And thus he becomes Ahaz, that is, 'embracing,' for by obedience knowledge is increased according to that, They have proclaimed the worship of the Lord, and have understood His doings. Then follows Ezekias, that is, 'the Lord is strong,' because he understands that God is strong, and so turning to His love, he becomes Manasses, 'forgetful,' because he gives up as forgotten all worldly things; and is made thereby Amon, that is, 'faithful,' for whoso despises all temporal things, defrauds no man of his goods. Thus he is made Josias, that is, 'in certain hope of the Lord's salvation;' for Josias is interpreted 'the salvation of the Lord.'
12-15. And after they were brought to Babylon, Jechonias begat Salathiel; and Salathiel begat Zorobabel; and Zorobabel begat Abiud; and Abiud begat Eliakim; and Eliakim begat Azor; and Azor begat Sadoc; and Sadoc begat Achim; and Achim begat Eliud; and Eliud begat Eleazar; and Eleazar begat Matthan; and Matthan begat Jacob.

But this seems to contradict the genealogy which is read in Chronicles (1 Chron. 3:17.). For there it is said, that Jeconias begot Salathiel and Phadaias, and Phadaias begot Zorobabel, and Zorobabel Mosollah, Ananias, and Salomith their sister. But we know that many parts of the Chronicles have been corrupted by time, and error of transcribers. Hence come many and controverted questions of genealogies which the Apostle bids us avoid (1 Tim. 1:4.). Or it may be said, that Salathiel and Phadaias are the same man under two different names. Or that Salathiel and Phadaias were brothers, and both had sons of the same name, and that the writer of the history followed the genealogy of Zorobabel, the son of Salathiel. From Abiud down to Joseph, no history is found in the Chronicles; but we read that the Hebrews had many other annals, which were called the Words of the Days, of which much was burned by Herod, who was a foreigner, in order to confound the descent of the royal line. And perhaps Joseph had read in them the names of his ancestors, or knew them from some other source. And thus the Evangelist could learn the succession of this genealogy. It should be noted, that the first Jeconiah is called the resurrection of the Lord, the second, the preparation of the Lord. Both are very applicable to the Lord Christ, who declares, I am the resurrection, and the life; (John 11:25.) and, I go to prepare a place for you. (John 14:2.) Salathiel, i. e. 'the Lord is my petition,' is suitable to Him who said, Holy Father, keep them whom Thou hast given Me. (John 17:11.)

He is also Eleazar, i. e. 'God is my helper,' as in the seventeenth Psalm, My God, my helper. He is also Mathan, that is, 'giving,' or, 'given,' for, He gave gifts for men; (Eph. 4:8.) and, God so loved the world, that He gave His only begotten Son. (John 3:16.)