1 Chronicles 1:17 The sons of Shem:

Elam, Ashur, Arphaxad, Lud and Aram.

The sons of Aram:[f]

Uz, Hul, Gether and Meshek.

18 Arphaxad was the father of Shelah,

and Shelah the father of Eber.

19 Two sons were born to Eber:

One was named Peleg,[g] because in his time the earth was divided; his brother was named Joktan.

20 Joktan was the father of

Almodad, Sheleph, Hazarmaveth, Jerah, 21 Hadoram, Uzal, Diklah, 22 Obal,[h] Abimael, Sheba, 23 Ophir, Havilah and Jobab. All these were sons of Joktan.

24 Shem, Arphaxad,[i] Shelah,

25 Eber, Peleg, Reu,

26 Serug, Nahor, Terah

27 and Abram (that is, Abraham).

f. 1 Chronicles 1:17 One Hebrew manuscript and some Septuagint manuscripts (see also Gen. 10:23); most Hebrew manuscripts do not have this line.
g. 1 Chronicles 1:19 Peleg means division.
h. 1 Chronicles 1:22 Some Hebrew manuscripts and Syriac (see also Gen. 10:28); most Hebrew manuscripts Ebal
i. 1 Chronicles 1:24 Hebrew; some Septuagint manuscripts Arphaxad, Cainan (see also note at Gen. 11:10

This is from the easy English site.

The list of names from Shem to Abram comes from Genesis 11:10-26. God changed Abram’s name to Abraham (Genesis 17:5). Until that time, Abram and his wife Sarai had no children. Sarai was too old to have children and Abram was 99 years old. But God promised them a son. God changed their names. ‘Abraham’ means ‘father of a crowd.’ His wife’s name became Sarah.

This is from enduringword.com.

The sons of Shem: From Shem came Elam, who was an ancestor to the Persian peoples; Asshur, who was the father of the Assyrians; Lud was father to the Lydians who lived for a time in Asia Minor; and Aram was father to the Arameans, who we also know as the Syrians. Arphaxad was the ancestor to Abram and the Hebrews.

Significantly, these included the nations from under which the people of Israel were largely exiled (the Persians). As the Chronicler includes lists this sweeping panorama of all the nations as a part of God’s plan, it assured Israel that they were still part of this plan and so were the nations to whom they had been exiled.

Uz: Later, a region in Arabia was named after this son of Aram. Job came from the land of Uz (Job 1:1).

“Uz gave the name of the home of the patriarch Job (Job 1:1), who may thus have been an early Edomite descendant of Esau (cf. Lamentations 4:21).” (Payne)

Some think that Jobab is another name for Job, but their names are actually quite different in the Hebrew. “Supposed by some to be the same as Job, whose book forms a part of the canon of Scripture. But in their names there is no similarity.” (Clarke)

And Shelah begot Eber: “The name Eber forms the root of ‘Hebrew’; but this patriarch was the ancestor not only of Abraham , but also of a number of other unsettled people, know in ancient history as Habiru or Apiru.” (Payne)

Peleg, for in his days the earth was divided: This seems to refer to the dividing of the nations at the tower of Babel described in Genesis 11:1-9.

So... Shem's line leads to Abraham. Perhaps I'll get more information on these people as I plow through Chronicles.

Shem.... is the line that brought us Abraham, David, and Jesus.
Ham.... is the line that brought us Cush, Egypt, [Libya] Put and Canaan.
Japheth.... is the line that brought us Magog and Gomer [not the wife of Hosea but the guy who lived to be 1,000 years old].

Now.... on with the story.