By the way, the first appearance of the word "umbrella" in English, according to the OED (not linkable), came in 1611:
T. Coryate Crudities sig. Lv, Many of them doe carry other fine things.., which they commonly call in the Italian tongue vmbrellaes... These are made of leather something answerable to the forme of a little cannopy & hooped in the inside with diuers little wooden hoopes that extend the vmbrella in a prety large compasse.That predates the first use of "vagina," which was in 1682:
T. Gibson Anat. Humane Bodies 20 It has passages..for the neck of the Bladder, and in Women for the vagina of the Womb.The etymology of "vagina" is: "Latin vāgīna sheath, scabbard." The etymology of "umbrella" is: "Italian ombrella and ombrello, < ombra < Latin umbra shade."
Here's Perry Como singing "Let a Smile Be Your Umbrella."
Fill in the blank: Let a smile be your umbrella. Let a _________ be your vagina.