what many women call Aunt Flo, my friends and I always called Mindy. there does seem to be a tendency for personification in these matters. 'a woman's Sophia' sounds pretty dignified, though I cannot help imagining, hearing "Little Clarissa in a boat", Gorey's The Hapless Child. It lends disturbing dimensions to the...process.
The other day I read in Fair of Speech, a study of euphemism (ed. D.J. Enright), that the sexual use of 'fanny' might have arisen from familiarity with Fanny Hill (though the OED only knows it in print from 1879). The writer then went on to comment that, however, 'as far as I know, nobody has ever spoken of a woman's clarissa, or sophia.'
Anthromorphicization of the bits has a long literary tradition. Consider this excerpt from Sheik Nefzaoui's Perfumed Garden (I forget which translation), the chapter concerning the sundry names given to the sexual organs of women:
'El Mokabeul (ever ready for the fray)
... This is the vulva which is not shocked, nor does it blush as the others do, when the vestments are lifted up that cover it; which, on the contrary, makes the member heartily welcome, lets it repose upon its vaulted dome, and introduces it into its core as if to swallow it entirely; so far, indeed, that the testicles are crying out, "Oh, what a misfortune! Our brother has disappeared! We are uneasy about him, for he has boldly thrown himself into that abyss! He must certainly be foolhardy to penetrate like a dragon into such a cavern!" The vulva hearing those lamentations, and desirous to dispel their chagrin, tells them, "Have no fear about this, he is alive, and his ears hear your words." Upon which they reply, "If what you say is true, O master of the beautiful countenance, let him come out, that we may see him." The vulva then says, "I shall not let him come out living; not till death has struck him down." The two testicles implore then, "What sin has he committed, that he should pay for it with his life?" The vagina, "By the existence of him who created the heavens, there is no way out of me until he is dead!" Then addressing the member, "Do you hear the words of your two brothers? Hasten to show yourself to them, for your absence has plunged them into a great afliction!" After the ejaculation, the member returns to them reduced to nothing and like a shadow; but they do not know him, saying, "Who are you, you wonder of leanness?" "I am your brother, and have been ill," says the member; "did you not see in what state I was when I entered. I have knocked at the door of all the physicians to get advice. But what prime physician have I found here! He has treated my complaint, and cured it without either auscultation or examination!" The two testicles answer, "O brother of ours, we suffer the same as you, for we are as one with you. Why did not God allot us the same cure?" Fortwith the sperm fills them and augments their volume. They then wish for the same treatment, saying "Oh, hasten to take us to the same physician, that he may cure our illness, for he konws all maladies!"
Here terminates the conversation of the two testicles with the member about its disappearance, which made them fear that he might have fallen into a silo or pit.'