I have no real interest in any connections to America but have chased down what I could find about Christopher Warren and Alyce Webb. Personally, I think that any profile should only contain information with some sort of evidence and other things should be pruned. This doesn't solve the problem of people latching on. It maybe that the profile needs to be protected to try to prevent unsourced additions,
This is what I found this afternoon
(sadly it's all indexes and transcription and secondary evidence; if this were my family I would be visiting the Devon records office when I could or asking online parish clerks for lookups))
1) according to the IGI batch number C051221. there were 3 boys, son of Christopher baptised at Ilsington
Thomas baptised 2 September 1621
Christopher baptised 8 Feb.1623
William baptised 7 January 1626
2) A preview for the Dictionary of National Biography , Oxford 2004 (I don't have access) says
"Warren, Sir William (bap. 1627, d. 1695), naval contractor, baptized at Ilsington, Devon, on 7 January 1627, was the sixth son of Christopher Warren (d. 1626), vicar of Ilsington, and his wife, Alice Webb. William was admitted to the Drapers' Company in 1650. The first official record of him comes ......"
Further research finds that this William Warren has over 150 references in Pepy's diary https://www.google.co.uk/?gws_rd=ssl#q=Willam+Warrren+Pepys
Edit:However, the IGI baptism date and this one are a year apart.
3) The General Armory of England, Scotland, Ireland, and Wales, Comprising a ... By Sir Bernard Burke C B LL D Volume 3 First Published 1842 says
Arms had been granted to" Warren (Hedbury, co Devon, Rame, co Cornwall and London as the arms of Rev. Robert Warren, Rector of Rame, Cornwall, John Warren and Richard Warren of Greenwich, merchant.Christopher Warren of London and William Warren ,of London, sons of Christopher Warren who was the great-grandson of John Warren of Hedbury in the parish of Ashburton;Devon."
4) Heraldic church notes from Cornwall : containing all the heraldry and genealogical particulars on every memorial in ten churches in the deanery of East, with copious extracts from the parish registers, annotated with notes from wills, etc. by Jewers, Arthur John, 1848-https://archive.org/details/heraldicchurchno00jewerich
contains the following
Another floor slab has a large well cut shied of the arms of Warren of Hedbury in Ashburton, granted 14th March, 1623 or rather confirmed for the arms were allowed at the Vistation 1620…..
" Here Lyeth the Bodie of Robert Warren, Rector of Rame, who Died the 7th Day of February 1658" He was the son of Christopher Warren by Alice, daughter of Thomas Webb of Sydenham Damerell (married there 15th June 1613 as Mr Christopher Warren and Alice Webb;vide Par Reg)
And his baptism is there recorded as having taken place on 8th October, 1615; a sister, Anne, having been baptised 1st May, 1614 and a brother, Richard, on the 15th August, 1619, as we learn from the same valuable source of information, the Parish register.
Robert Warren married Margaret, daughter of Peter Burgess of Petertavy, by who he had five sons and two daughters, viz, Christopher, Robert, Thomas, Peter, Nathaniel, Margaret and Ann.
(extracts from the parish register follow for grandchildren born of Robert who seems to have become the next Rector and his wife Priscilla)
Page 133 of the book contains the extracts from the Sydenham Register for the marriage of Christopher Warren and Alyce. She appears to be the daughter of Robert Webbe, the 'pastor of Sydenham ( There may also be transcripts of the baptisms; there are 'hits' in the text that I haven't followed up)
So we have
Christopher Warren great grandson of John Warren of Hedsted, Ashburton Devon b.1585 (Oxoniensis)
married in 1613, Alyce Webbe probably d of Robert Webbe pastor of Sydenham (b 1689?) Robert's wife Alice was buried in 1624.
children.
Anne 1614, Robert 1615, Richard 1619 baptised Sydenham Damerell
Thomas 1621, Christopher 1623, William 1626
(only 5 sons, not the 6 of the DNB)
Christopher died 1626 as vicar of Ilsington