The answer to every clue can be found in the grid, forward, backward, up, down, or diagonally.

Grid

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A man needs a woman in order to experience the best parts of life (5) A matchmaking widow returns from Yonkers (9)
A song about the marvelous weather of Cadbury (7) A tribute to the Mississippi (12)
Duet between hero and heroine whose brother he has killed (5) A writer and his protagonist dispute their relative significance (7)
Let's pretend to be in love (8) Chivalrous hero explains his noble cause (8)
On our heroes' ignorance of the fair sex (8) In praise of the multiplicative identity (15)
Questing hero introduces himself (13) On the virtues of domestic labour (9)
This evening's entertainment will be light-hearted and end in a marriage (7) Our adulterous heroine is rescued from the stake (3)
Thoughts during auditions (5) Our hero rhapsodizes on his love's name (3)
Why the Brady Bill had little effect on courting (8) See if you can recall idyllic autumns (11)
Why vegetables are superior to children (8) The unofficial anthem of Broadway (8)