I have made a few corrections to the beginning of this information:

Descendants of William Hopkins

Generation No. 1

1. WILLIAM1 HOPKINS was born Abt. 1575 in Yeovilton, England, and died 1670 in Illchester, England. He married JOANNA ARNOLD October 13, 1611 in Illchester, England, daughter of NICHOLAS ARNOLD and ALICE GULLY. She was born November 30, 1577 in Nottingham, England, and died March 10, 1620/21 in Ilchester, England.

More About WILLIAM HOPKINS and JOANNA ARNOLD:
Marriage: October 13, 1611, Illchester, England

Children of WILLIAM HOPKINS and JOANNA ARNOLD are:
i. WILLIAM2 HOPKINS, b. Aft. 1611.[I have never seen a William listed, he may have died young]
ii. FRANCES HOPKINS, b. May 28, 1614; d. February 26, 1699/00; m. WILLIAM MANN.
2. iii. THOMAS HOPKINS, b. April 07, 1616, Ilchester, England; d. October 1684, Oyster Bay, New York.
iv. ELIZABETH HOPKINS, b. July 03, 1619, Yeovilton, Somerset, England; d. Bef. August 17, 1706, Providence, Providence County, Rhode Island; m. EDWARD INMAN, Bef. 1646; b. March 05, 1619/20, St. Margaret, Westminister, England.

More About EDWARD INMAN and ELIZABETH HOPKINS:
Marriage: Bef. 1646


Generation No. 2

2. THOMAS2 HOPKINS (WILLIAM1) was born April 07, 1616 in Ilchester, England, and died October 1684 in Oyster Bay, New York. He married ELIZABETH ARNOLD 1645 in Rhode Island, daughter of WILLIAM ARNOLD and CHRISTIAN PEAKE. She was born November 23, 1621 in Nottingham, England, and died Bef. 1676 in Rhode Island.

Notes for ELIZABETH ARNOLD: [this may or may not be correct - Elizabeth is also shown as being married to William Carpenter in her father's will. It is agreed that he married someone referred to as “cousin Elizabeth” but not agreed that is was Elizabeth Arnold] Sister to Benedict Arnold (not the traitor). First Governor of Rhode Island
Under the last charter granted by King Charles II July 8th, 1663.


More About THOMAS HOPKINS and ELIZABETH:
Marriage: 1645, Rhode Island

Children of THOMAS HOPKINS and ELIZABETH are: [see corrections below]
i. ICHABOD3 HOPKINS, b. 1642.
3. ii. WILLIAM HOPKINS, b. Abt. 1647, Providence, RI; d. July 08, 1723, Providence, RI.
4. iii. THOMAS HOPKINS, b. 1650; d. April 21, 1718.
iv. HOPKINS, b. 1652.
v. JOSEPH HOPKINS, b. 1652.
vi.ELIZABETH HOPKINS, b. 1655.

Correct list:
Joseph Hopkins 1646 – bf 1684
Major William Hopkins 1647 – 1723
Thomas Hopkins 1650 – 1718

=Joseph Hopkins 1646 – bf 1684 m Elizabeth Rhodes 1650 – 1727
Children:
Ichabod Hopkins 1669 – 1731
Anne Hopkins 1671 –

=Major William Hopkins 1647 – 1723 m Abigail Whipple 1660 – 1725
Children:
William Hopkins 1686 – 1738

=Thomas Hopkins 1650 – 1718 Mary Smith 1653 – 1724 dau of John Smith the Mason 1626 – 1687 and Elizabeth Unkn 1628 – 1681
Children:
William Hopkins 1678 – 1723
Thomas Hopkins 1685 – 1746
Joseph Hopkins 1689 – 1740
Elizabeth Hopkins 1693 – 1731
Mary Hopkins 1695 – 1733
Zebedee Hopkins 1696 – 1789
Rachel Hopkins 1697 – 1710
Elisha Hopkins 1699 – 1798
Ezekiel Hopkins 1700 – 1762
Amos Hopkins 1701 – 1769
Jeremiah Hopkins 1703 – 1733
Anne Hopkins 1706 – 1750


Generation No. 3

3. WILLIAM3 HOPKINS (THOMAS2, WILLIAM1) was born Abt. 1647 in Providence, RI, and died July 08, 1723 in Providence, RI. He married ABIGAIL WHIPPLE ?DEXTER? January 1681/82 in Providence, RI.. She was born Bet. 1660 - 1665 in Providence, RI, and died August 19, 1725 in Providence, RI. Parents John Whipple 1617 – 1685 and Sarah Hutchinson 1624 – 1666

More About WILLIAM HOPKINS and ABIGAIL WHIPPLE
Marriage: January 1681/82, Providence, RI.

Children of WILLIAM HOPKINS and ABIGAIL ?DEXTER?? WHIPPLE are:
5. i. WILLIAM4 HOPKINS, b. 1681, Providence, RI; d. 1738, Providence, RI.
*ii. THOMAS HOPKINS, b. 1680; d. 1746. [this is mixing up Thomas Hopkins 1650 – 1718 brother of William. William and Abigail had only one child.]


4. THOMAS3 HOPKINS (THOMAS2, WILLIAM1) was born 1650, and died April 21, 1718. He married MARY SMITH April 01, 1678, daughter of JOHN SMITH and ELIZABETH GILDERSLEEVE. {wrong] She was born in Providence, RI, and died Aft. 1718. this is an entirely different family from Massachusetts, see below

THOMAS HOPKINS and MARY SMITH: dau of John Smith the Mason 1626 – 1687 and Elizabeth Unkn 1628 – 1681

Marriage: April 01, 1678
[incomplete list]
Children of THOMAS HOPKINS and MARY SMITH are:
6. i. THOMAS4 HOPKINS, b. Abt. 1685, Providence, Providence, Ri; d. Aft. 1746, Providence, Providence, Ri.
7. ii. ZEBEDEE HOPKINS, b. February 22, 1696/97, Providence, RI; d. March 04, 1789.


Generation No. 4
[this is correct but William is the son of William and Abigail NOT Thomas Hopkins and Mary Smith]
5. WILLIAM4 HOPKINS (WILLIAM3, THOMAS2, WILLIAM1) was born 1681 in Providence, RI, and died 1738 in Providence, RI. He married RUTH WILKINSON January 02 in Providence, RI. She was born January 31, 1684/85 in Providence, RI, and died 1738 in Providence, RI.

More About WILLIAM HOPKINS and RUTH WILKINSON:
Marriage: January 02, Providence, RI

Children of WILLIAM HOPKINS and RUTH WILKINSON are:
i. WILLIAM5 HOPKINS, b. Bet. 1700 - 1725.
ii.STEPHEN HOPKINS, b. May 07, 1707, Providence, RI; d. July 13, 1785, Providence, RI; m. (1) SARAH SCOTT, October 09, 1726, Providence, RI; b. June 24, 1707, Providence, RI; d. September 09, 1753, Providence, RI; m. (2) ANNA SMITH, January 02, 1755; b. October 05, 1717, Providence, RI; d. January 20, 1782, Providence, RI.

Here is a partial list of children of William Hopkins and Ruth Wilkinson:
William HOPKINS 1703 – 1755
Stephen HOPKINS 1707 – 1785
Rufus HOPKINS 1708 – 1723
John HOPKINS 1710 – 1745
Hope HOPKINS 1717 – 1803
Esek HOPKINS 1718 – 1802
Samuel HOPKINS 1720 – 1744
Abigail HOPKINS 1722 – 1772
Susannah HOPKINS 1723 – 1772

Notes for STEPHEN HOPKINS:
Representing Rhode Island at the Continental Congress
Education: (Lawyer, Educator)
Work: Speaker of the Rhode Island Assembly, (circa 1750-2); Delegate to the Albany Convention, 1754; Member of the Continental Congress, 1774-78; Member of Rhode Island Legislature.
Born in Scituate (then a part of Providence), Rhode Island. He was apparently self-educated. He was a member and speaker of the Rhode Island Assembly, and in 1754 was a delegate to the Albany convention in New York were he considered Franklin's early plan of Union. Hopkins spoke out against British tyranny long before the revolutionary period. He attended the first Continental Congress in 1774, and was a party to the Declaration of Independence in 1776. He left that congress in 1778 and returned to his native state to serve in its Legislature. He died at the age of seventy eight.

More About STEPHEN HOPKINS and SARAH SCOTT:
Marriage: October 09, 1726, Providence, RI
Children:
* Rufus Hopkins 1727 m SARAH OLNEY
* John Hopkins 1728 m MARY GIBBS
Ruth Hopkins 1731 –
* Lydia Hopkins 1733 m DANIEL TILLINGHAST
Sylvanus Hopkins 1734 –
Simon Hopkins 1736
George Hopkins 1738
* from DAR records

More About STEPHEN HOPKINS and ANNA SMITH:
Marriage: January 02, 1755


iii. RUFUS HOPKINS, b. Abt. 1709.
iv. JOHN HOPKINS, b. Abt. 1713; d. February 01, 1744/45.
v. HOPE HOPKINS, b. March 03, 1716/17.
vi. ESEK HOPKINS, b. April 26, 1718.
vii. SAMUEL HOPKINS, b. 1720.
viii. ABIGAIL HOPKINS, b. 1723; d. January 30, 1772.
ix.SUSANNA HOPKINS, b. 1724; d. 1741.