This line is taken from the traditional family pedigree, collected by Hopkinson and printed by Thoresby in 1715.
https://books.google.com/books?id=gulWAAAAcAAJ&pg=PA186
A 2nd edition was published by Whitaker in 1816 but doesn't add anything.
As you see, there are no dates before 1558.
I haven't come across a properly researched pedigree of this family. But there could be one lurking in an old journal.