Even if you share a DNA match with several people all that means is that you have a common ancestor, not who that ancestor was (unless you have been able to match the DNA to the bones of a man buried in the 16th C) I really don't think that a man called Sir James Thomas Randall Crew existed in the 16th century.
I did a some searches of the various parish registers together with Gloucestershire and Wiltshire Wills.
There was an Edmund, son of Thomas baptised in Marshfield , Gloucestershire 16 Jan 1570/1
There were many children of Thomas Crew born in this period. (also several children of a Robert Crew.)
A Thomas Crew was buried in 1597, he left a will leaving everything to his wife Margaret (he was not a knight or member of the gentry)
Thomas, son of Edmund baptised on 18 Oct 1598 at Marshfield
Edmund son of Edmund baptised in 1610/11 at Marshfield
https://www.ancestry.co.uk/sharing/21270810?h=c65eb5 via @Ancestry
An Edmund Crewe ( ignore the ancestry incorrect transcription was buried in Marshfield) in 1644
Here is a full transcript of the Marshfield register.
There is no Edmund recorded in the burial register for 1652 in Bromham, Wiltshire. This is the page of the parish register it would be on https://www.ancestry.co.uk/sharing/21270697?h=ca3029 What evidence is there that Edmund from Marshfield moved to Bromham), what evidence is there that he married a Jane Cox (unlikely to be a Baroness), I assume Isle refers to the Isle of Wight.
An Edmund Crew, married a Jane Cox at St Edmund's Salisbury in April 1676 but that is obviously far too late
I found https://www.wikitree.com/wiki/Crew-98 [Edmund Crew (abt. 1571 - abt. 1632)]
A previous editor has added some other possible children
Susannah Crewe, christened Sept 10, 1587, HANHAM AND OLDLAND,GLOUCESTER,ENGLAND 
Thomas Crewe, christened Oct 18. 1598, MARSHFIELD,GLOUCESTER,ENGLAND 
James Crewe,b Nov 1600  Bromham Wiltshire
Edmundus Crewe, christened Jan 24, 1611, MARSHFIELD,GLOUCESTER,ENGLAND 
Randall Crewe, (unproved)
But there is nothing to link James Crewe b 1600 in Bromham Wiltshire, to Edmund in Gloucestershire other than the name Edmund Crewe. Susannah might not be a daughter either. There were a lot of Crews just in a small part of Gloucestershire. In fact there was an Edmund Crewe of Dyrham, just 4 miles from Marshfield. His will was probated in 1582 (the Dryham registers for this period seem to be missing)
The three supposed sons of Crew-98, match the names now given to the one man https://www.wikitree.com/wiki/Crew-176 (James Thomas Randall)
None seem to have any link to James Crew born in Shalfleet, Isle of Wight (see previous answer)
My advice is to start from where you know, work back each generation one at a time, finding evidence as you go. It's really hard to jump from America to England but can't be done simply on the basis of similar names.