[dbasedweeb]

IIRC Mythbusters had an episode about this “son of a gun” myth and concluded that it was essentially impossible. It still makes an amazing story. Like all virgin births I expect the truth was either that it was entirely fabricated, or it was real insofar as the woman in question didn’t want to publically give up her “virtue” (which given the periods involved, is understandable). Plus you as a bonus you get long odds on starting a religion.