I am Korah / Korech. Therefore, Alexander is Elkanah, Howard is Izhar, and Harry is Kohath.

Jacpb Hamilton - Israel

Levi Weirick Hamilton - Levi

27The sons of Levi: Gershon, Kohath, and Merari.

?William Newton Hamilton - ? Never met him.

Harry Albert Hamilton - Koheth - ko h h

Exodus 6:18 "And the sons of Kohath: Amram, and Izhar, and Hebron, and Uzziel. And the years of the life of Kohath were a hundred thirty and three years."

1 Chronicles 6:2 The sons of Kohath:

Amram, Izhar, Hebron and Uzziel.

Harv Hamilton - Amram, Howard Hamilton - Izhar

Exodus 6:21: "And the sons of Izhar: Korah, and Nepheg, and Zichri."

Craig Hamilton - Korah/Korech

Exodus 6:24 The sons of Korah were Assir, Elkanah and Abiasaph. These were the Korahite clans.

? [Assir] son of Jen, Alexander [Elkanah] Hamilton son of Meghan

and/or

1 Chronicles 2:1: "These are the sons of Israel: Reuben [A - Reu - Genesis 11:18: "When Peleg had lived 30 years, he became the father of Reu" (NIV).], Simeon [l], Levi [e], and Judah [x], Issachar [a], and Zebulun [n],"

1 Chronicles 2:2: "Dan [d], Joseph,....

And Joseph called the name of the firstborn Manasseh [e]: For God, said he, hath made me forget all my toil, and all my father's house. And the name of the second called he Ephraim [r[: For God hath caused me to be fruitful in the land of my affliction. 

Genesis 41:51-52 KJV (King James Version)

and/or

According to the Bible, Elkanah's most famous son is Samuel, whom he fathered with his wife Hannah. While Elkanah had other children with his second wife, Peninnah, the Bible does not list their specific names, focusing instead on Samuel’s ministry. Later, Hannah had three more sons and two daughters. 

Key details regarding Elkanah's children:

• Samuel: The first son of Hannah, dedicated to the Lord.
• Peninnah's Children: Though she bore multiple children, they are not named in the biblical text.
• Later Children: Hannah subsequently gave birth to three more sons and two daughters (1 Samuel 2:21). 

and/or

20And Reu lived two and thirty years, and begot Serug. 21And Reu lived after he begot Serug two hundred and seven years, and begot sons and daughters.

Updated I am Peleg (Harry - Shelah, Howard - Eber, Craig - Peleg, Alex - Reu) Genesis 11

1911 14And Shelah (Harry Hamilton) lived thirty years (1943), and begot Eber (Howard Hamilton). 15And Shelah (Harry Hamilton) lived after he begot Eber (Howard Hamilton) four hundred and three years (?), and begot sons and daughters.

16And Eber [Hebrew] (Howard Hamilton) lived four and thirty years (1978), and begot Peleg (b. Craig Hamilton July 24th 1978). 17And Eber (Howard Hamilton)  lived after he begot Peleg (Craig Hamilton) four hundred and thirty years, and begot sons and daughters (?).

18And Peleg [physical education leg] (Craig Nelson Hamilton) lived thirty years (2008), and begot Reu [Re: - You!] (Alex March 23rd 2008). 19And Peleg (Craig Nelson Hamilton) lived after he begot Reu (Alexander Joseph Hamilton) two hundred and nine years, and begot sons and daughters (?).

I used strike thru to my font because the dates don't match with the birth of Jesus 1CE and the flood, which was in 1776CE. However this might still be true in some other way.