The Dean's Answer (to Sheridan's Riddle)

In reading your letter alone in my hackney,
Your damnable riddle my poor brains did rack nigh.
And when with much labour the matter I crack'd,
I found you mistaken in matter of fact.
A woman's no sieve, (for with that you begin,)
Because she lets out more than e'er she takes in.
And that she's a riddle can never be right,
For a riddle is dark, but a woman is light.
But grant her a sieve, I can say something archer;
Pray what is a man? he's a fine linen searcher.
Now tell me a thing that wants interpretation,
What name for a maid, was the first man's damnation?
If your worship will please to explain me this rebus,
I swear from henceforward you shall be my Phoebus.