He probably didn't have a middle name - I think he's been confused with a relative Rev Robert Wright. I found and updated Laurence Wright, physician. His brother was Rev Robert Wright (1556-1624) (see the last paragraph) - he was a Calvinist/Puritan until he conformed after a stint in prison and somewhat eminent. Maybe that's the mixup with the "eminent theologian of Dagnams near South Weald".
I think Dagnams is abbreviated from Dagenhams Manor in Romford which was purchased by a decendant Dr. Thomas Wright in 1633, and is down the road from South Weald and Upminster.
I looked into the advowson of Upminster - he or one of his descendants possibly purchased it from the Vaux family since a recusant John Wright of Kelvedon held the advowson until his death in 1609 but the King presented in for the minor Edward Vaux, 4th Lord Vaux so maybe it was a kind of lease, or it was forfeit.
The Wrights were almost certainly yeoman until John bought Kelvedon Hall, so I'm unclear the connection to 'Dagenham's manor' The manor in Dagenham was owned by the Barking Abbey until the dissolution, Dagnams above was owned during his supposed lifetime by Henry Percy, Earl of Northumberland, Avery Cornburgh, Sir William Hussey and Sir John Hussey.
Why was he married in Cheshire?
The DNA matches a much later descendant - his relationships should be uncertain (or removed)
Source: S-2047177890 Repository: #R-2138127636 Title: Ancestry Family Trees Publication: Online publication - Provo, UT, USA: Ancestry.com. Original data: Family Tree files submitted by Ancestry members. Note: This information comes from 1 or more individual Ancestry Family Tree files. This source citation points you to a current version of those files. Note: The owners of these tree files may have removed or changed information since this source citation was created. Page: Ancestry Family Trees Note: Data: Text: http://trees.ancestry.com/pt/AMTCitationRedir.aspx?tid=16746257&pid=1937
This is an interesting Henry VII Tudor theology era prior to Henry VIII forming the Anglican Church to marry Elizabeth I's Mom. Most ministers would have been Catholic priests prior to Martin Luther beginning the Protestant Reformation at the time of Wright's death. John Robert Sr would have been a very early protestant type leader at the end of the 15th Century and turn of the 16th if he was not Catholic. John Knox would not yet have accused Elizabeth's catholic sister, Mary of Scots, of being an adulterous apostate.