This question is a spinoff of the long-standing Grenville/Bonville conundrum. My provisional reconstruction of the Grenville pedigree, after a lot of discussion, is here: https://www.wikitree.com/genealogy/Grenville-Family-Tree-92
That five-generation chart (with a whole bunch of Magna Carta descents) has one error that hasn't been discussed yet: the father of Ann (Bodrugan) Cole.
According to the 1630 pedigree of the Cole family prepared by King-at-Arms William Segar, the wife of Sir John Cole was Ann, daughter and heiress of Nicholas Bodrugan. This would seem to be demonstrably false.
This 1630 pedigree was the basis for the extended Cole pedigree in Joseph Jackson Howard's Miscellanea Genealogica et Heraldrica, vol. 2 (1876), starting on page 234.
This 1630 pedigree seems to also be the sole basis for the earliest generations in James Edwin-Cole's 1867 Genealogy of the Family of Cole, in Devon.
However, the plot thickens. Vivian's Visitations of Cornwall, on page 90 (click on the link at the bottom of the index page), reproduces without change the Cole pedigree from the 1573 Cornwall Visitation. This pedigree starts with Sir John Cole who married an un-named daughter of William Bodringham (a variant spelling of Bodrugan), not Nicholas.
This William could have only been William, the recognized bastard son of Otto Bodrugan and the last direct male descendant of the Bodrigan family. Roskell's History of Parliament includes a biographical sketch of this William at http://www.historyofparliamentonline.org/volume/1386-1421/member/bodrugan-william-i
This bastard William had a nephew, son of his half-sister Joanna, who also went by the name William Bodrugan, but the nephew was too young to have been the father of the wife of Sir John Cole. The nephew William Bodrugan also has a biographical sketch in the History of Parliament, at http://www.historyofparliamentonline.org/volume/1386-1421/member/bodrugan-william-ii-1416.
The bastard William also had an uncle William, who died without issue around 1380; this elder William's heir was his brother Otto, father of bastard William. See the Bodrugan family section in John Maclean's Parochial and Family History of the Deanery of Trigg Minor, vol. 2, p. 551, at https://babel.hathitrust.org/cgi/pt?id=coo.31924091781355;view=1up;seq=613;size=150, but this source doesn't mention bastard William.
Bastard William's father Otto was the youngest of three brothers. The eldest brother, Henry, had a daughter who married Richard Sergeaux. The second brother, William, as mentioned above had no living children when he died around 1380. The third brother, Otto, had a daughter Joan, who had two sons who took the name Bodrugan and shared the Bodrugan inheritance with the heirs of the daughter who married Richard Sergeaux. There were no other heirs.
However, that 1630 Cole pedigree invents a fourth brother, Nicholas Bodrugan, who was the father of Ann Bodrugan, heiress, who married John Cole. If I am not mistaken, the fact that the Coles didn't inherit anything from the Bodrugans proves that Nicholas didn't exist, and William Bodrugan (father of Ann) being a recognized bastard explains how the Coles inherited the right to quarter the Bodrugan arms without inheriting any land (which was entailed for legitimate sons).
So... if this argument that Nicholas Bodrugan wasn't a real person makes sense, I would like to change Ann Cole's father from Nicholas Bodrugan-10 to William Bodrugan-69.