The newtown church records might just add to the confuzion. There are no births & marriages recorded before 1743. There are some earlier records of the society meetings. First i found of Parmelee name is mentions of Stephen Parmaly & Nathaniel Parmalee about 1734 - 1735, Hiram Parmalee and Rufus Parmelee are appointed to church committies ( names of Nathaniel`s sons listed by Ezra) no indication if they are either young enough to be sons on Nathaniel or old enough to be brothers but were of adult age. Hiram & Rufus names appear many times thru the years into the 1800s, it almost looks like Nathaniel 1694 & Nathaniel 1761 had children with the same names. There is a mention of Hiram Parmelee Jr. & wife Betsey in 1828.
I found only 3 BMD records:
"Jan 7 1760, died, Nathaniel Parmelee, aged abt 70 yrs."
"Nov 15 1770, died, Noah Parmelee, aged abt 70 yrs."
"Eloice Parmele, dau of Nathaniel and Althea Parmele was baptized Oct 7 1801."
This shows Nathaniel 1761 did marry an Althea but still unknown surname.
I found no mention of the name Whitmore/Wetmore or any variation of the name in the church records.
As commonaly found in early CT. records here is a gap in the records between 1776 to 1800, the period of the Rev War when births & marriages were not recorded.