If the birth and death dates are right - which I will check next - we can alter the Samuel Allen, of Bridgewater profile @Samuel of Bridgewater as follows and as to include these children :
Deacon Samuel Allen, Jr.; = Sam of Bridgewater = the Sam who is the son of Braintree Sam
Samuel Allen b 4 Dec 1660, Bridgewater, Plymouth, MA, d 28 Jun 1750, Bridgewater, Plymouth, MA; md Rebeckah Cary 2 Dec 1685, Bridgewater, Plymouth, MA. = Samuel Allen, III;
Essiel Allen b 1 Mar 1662/63, Duxbury, Plymouth, MA. = Essiel Allen;
Mehitabel Allen b 20 Jan 1664/65, Duxbury, Plymouth, MA, d aft 20 Oct 1727, Bridgewater, Plymouth, MA; md Isaac Alden 2 Dec 1685, East Bridgewater, Plymouth, MA. = Mehitable Alden;
Sarah Allen b 14 Apr 1667. = Sarah Carey / Snow;
Bethiah Allen b 12 May 1669, Bridgewater, Plymouth, MA; md John Pryor 1687-1690, Bridgewater, Plymouth, MA. = Bethia Prior;
Nathaniel Allen b 10 Feb 1671/72, Bridgewater Plymouth, MA, d bef 1 Oct 1751, Bridgewater, Plymouth, MA; md Bethiah Conant 14 Dec 1696, Bridgewater, Plymouth, MA.= Nathaniel Allen;
Ebenezer Allen b 14 Oct 1674, Bridgewater, Plymouth, MA, d 1730, Bridgewater, Plymouth, MA; md Rebecca Skeath 11 Oct 1698, Bridgewater, Plymouth, MA. = Ebenezer Allen;
Josiah Allen b 21 Apr 1677, Bridgewater, Plymouth, MA, d 1781, East Bridgewater, Plymouth, MA; md Mary Reed 25 Dec 1707, East Bridgewater, Plymouth, MA. = Josiah Allen, Jr.;
Elisha Allen b 8 Feb 1678/79, Bridgewater, Plymouth, MA, d 5 Aug 1720, Bridgewater, Plymouth, MA; md Mehitabel Byram 3 Dec 1701, Bridgewater, Plymouth, MA.= Elishah Allen;
Nehemiah Allen b 5 Jan 1680/81, Bridgewater, Plymouth, MA; md Sarah Wormall 8 Jan 1706/07.= Nehemiah Allen;
These don’t belong:
Mindwell Allen;
Hannah Allen;
Thomas Allen;
Joseph Allen;
Eleazer Allen and
Asahel Allen
I will post again to confirm the correct birth and death dates