I have seen this story recounted (and I did say it was a 'story' and that this was 'thought to be' perhaps a family joke) in any number of places, including some of the editions of NA that I own. I haven't got access to anything but the online novel during my lunch hour, but I'll find one--or several-- when I get home.

This is what JA wrote in her 'History of England' about Richard III:

Richard the 3d

The Character of this Prince has been in general very severely treated by Historians, but as he was a York, I am rather inclined to suppose him a very respectable Man. It has indeed been confidently asserted that he killed his two Nephews & his Wife, but it has also been declared that he did not kill his two Nephews, which I am inclined to beleive true; & if this is the case, it may also be affirmed that he did not kill his Wife, for if Perkin Warbeck was really the Duke of York, why might not Lambert Simnel be the Widow of Richard. Whether innocent or guilty, he did not reign long in peace, for Henry Tudor E. of Richmond as great a villain as ever lived, made a great fuss about getting the Crown & having killed the King at the battle of Bosworth, he succeeded to it.

No mention of anyone disliking him because of his name, so that does nothing to disprove what I was saying.