Archaeologia Or Miscellaneous Tracts Relating to Antiquity, Volume 33
Pages 58-60
https://books.google.com/books?id=PzRFAAAAcAAJ&pg=PA60&lpg=...
Spamming the discussions does not strengthen your argument. Your source dates back to 1848 and relies heavily on even older citations.
As for the "royal authority": William Brereton, 1st Baron Brereton (1550 – 1 October 1631) was an English politician who sat in the House of Commons at various times between 1597 and 1622. He was created a peer in the Peerage of Ireland in 1624 as Baron Brereton.
1624. The King in question was James I. That is *only* proof of what was believed in the early 17th century, not evidence of what actually happened in the 12th century. (And I might add that the College of Arms could be, and sometimes was, swayed by a sufficiently large bribe. Several instances of complicity in pedigree-faking have turned up.)