Gov. John Haynes of Conn. (1594-1654) was the son of John Haynes of Much Haddom, Essex. There is much history available. Google Gov. John Haynes
and it will keep you spellbound for hours. Also Google Gen. Hezekia Haynes.
Being a general and the son of a colonial Governor there is a lot of history about him, including wills, letters, etc. I found the book you mention 'the complete memoirs of Richard Haines' on the internet. On page 140 and 141 it mentions these Essex Haynes. It supposes the Hezekia may have had an older brother John.
When Gov. Haynes left England in 1634. He was a widower and left his children in the care of relatives. He remarried in 1635 to Mabel Harlakenden.
His first son with her was John Haynes. He is the one who went to Harvard
1656. Hezekia visited his father in Conn. and brought a portrait of himself dressed in armor. It has appeared on the internet lately as John Haynes, and John Richard Haynes.
Some of the genealogical sites tracking Gen. Hezekia's line list Margret Cokayne as the first wife of Gov. John Haynes and is the mother of John Richard Haynes (1614-16??) . She then died in 1615. Gov. John then married Mary Thorton in 1616. Hezekia born 1619, christened 1621. John Richard christened 1617. I've always wondered why John Richard has a middle name. Is that common for this time period? May by he went by the name Richard?
The Richard Haines that died at sea 1682 was a member of the 'society of friends' (a quaker). there are records of he and Margaret joining in Aynhoe. Of the few records found in Aynhoe Richard's name is spelled Haynes, Haine, and Haines. Probably depended of who ever had the pen in their hand at the time.
Gov. John Haynes was a Puritan.
NLHAINES