In Raymond Lamont-Browns’s book “How Fat was Henry VIII, he mentions the story that Robert Dudley and Elizabeth actually had a son together-named Arthur and when he was 5 years old was sent to Kat Ashley’s husband to be educated! Do you think most historians think this story is actually plausible, since Elizabeth was know at the “Virgin Queen”?
I have actually written an article on the Arthur Dudley myth - see http://www.elizabethfiles.com/the-arthur-dudley-myth/3298/ - Arthur definitely existed but most historians do not believe that he was the illegitimate son of Elizabeth and Robert Dudley. One theory, put forward by Sarah Gristwood, is that he may have been an English agent. She points out that Walsingham made good use of “agents provocateurs”, sending them undercover to gather information on foreign enemies, and that this may explain why Arthur Dudley suddenly disappears from history, perhaps he escaped and resumed his own identity.
You can read the full story in my artciel.