vital records sources
go to Nehemiah Hayden's page

children of Nehemiah Hayden and Hannah Neale:1

i. Nehemiah, b. 16 May 1680 (bap. 4 October 1691)
ii. Hannah, b. 16 July 1681 ("Anna" bap. 4 October 1691)
iii. Mary, b. abt. 1682-83, bap. 4 October 1691
iv. Samuel, b. abt. 1684-85, bap. 4 October 16912
v. Benjamin, b. 22 February 1685/86 (bap. 4 October 1691)
vi. John, bap. 4 October 1691
vii. Ebenezer, bap. 16 April 1693
viii. Rachel, bap. 22 April 1694
ix. Jonathan, bap. 4 June 1699

vital records sources:

1. Chronologically ordered using Nehemiah's will, the dates of their marriages and births RTB, various pages, and baptisms, First Parish Church, Quincy, MA, see also "Quincy, MA: Vital and Church Records, 1672-1870," database at americanancestors.org.
2. A birth date of "22 2d month 1683" (22 April 1683) is claimed in Mayflower Families Through Five Generations, vol. 16, part 1, but not sourced, and it isn't in the Braintree vital or church records. This is the only place I've seen the Julian form used. Books and webpages since then have copied it as 22 April 1683 and 22 February 1683.