There is simply TOO much Bad Information out there MIS-connecting all sorts of people to these hoity-toity recusant Catholics.
A lot of it comes from Emma Siggins White and her attempts to gentrify her husband's ancestry (he came from a line of Somerset shepherds). "Genesis of the White Family" is at *least* 50% pure codswallop, not least the assumption that anyone and everyone who ever used the surname "White" MUST belong to the same family (oh no they don't!).