“begging the question” doesn’t have a literal sense. Outside its use as a term of art, it’s a nonsensical formation.
To beg can mean to solicit. (source)
If I solicit a question from you, I’m requesting a question. The only thing figurative about this formation is that I my request may be accidental and implied. (And, when applied to statements, [e.g. Your answer begs the question…] it is, of course, anthropomorphizing them.)
As for the “Immaculate Conception” topic:
Doesn’t it seem like it sets the problem back another generation? Now we have the problem of how do Mary’s parents produce a child that doesn’t have sin, if they themselves do? And if you can resolve this for them, why couldn’t you resolve it for Mary? Why couldn’t the Virgin Birth cause the immaculate conception of Jesus?
Or does it retroactively apply to Jesus’ ancestors? Because the genealogies in Matthew and Luke have a lot of people who sinned. Heck, Luke has Adam himself, whose sin is the very cause of “original sin.”
And here’s the cite, for those who want to see the original Ineffabilis Deus, from Pius IX in 1854. (English translation.)