Birth, Marriage and Death info from Mayflower Families Volume 11 (Edward Doty) Part 1. They have the date of death as 1800 with a source of Morse Genealogy, P. 48. But Gershom's information on page 48 has no date of death. So I'm using Before 1800.

Remainder of line to Mayflower passenger Edward Doty goes:

Joshua MORSE (~1675 - 1754) + Elizabeth DOTY (1675 - 1698)
John DOTY (~1640 - 1701) + Elizabeth COOKE (1648 - 1692)
Edward DOTY (~1595 - 1655) + Faith CLARKE (~1619 - 1675)

Also, Elizabeth COOKE's line to Mayflower passengers Francis COOKE and Stephen HOPKINS goes:

Jacob COOKE (son of Francis) + Damaris HOPKINS (daughter of Stephen).

http://books.google.com/books?id=iA7KO9PrPacC&pg=PA89&lpg=PA89&ots=48G9ogRchG&dq=%22Gershom+Morse%22+Norwich

A History of Norwich, Vermont By Merritt Elton Goddard, Henry Villiers, 1905. P. 88-89

Norwich, 22"d Sept., 1777
...
Pursuant to your orders of 21st Inst., I have called the Militia of
this town together
...
II ENLISTED MEN
...
Gershom Morse, Private; Gershom Morse, Jr., Private; Job Morse, Private;

• Married: 06 Sep 1741 in Wareham, Massachusetts
• Note:

  http://www.warehamhistory.com/WarehamGenWeb/MI.htm (book:page):
  1:275 Morse, Gershom of Middleborough and Swift, Elizabeth of Wareham int. 08-Aug 1741
  1:271 Morse, Gershom of Middleborough and Swift, Elizabeth of Wareham m. 06-Sep 1741

1. Job Morse b: 02 Jan 1756 in Wareham, Massachusetts c: 18 Jan 1756 in Wareham, Massachusetts