Cinderella and the Duke by Lydia Drake

Miss Julia Beaumont has exactly one night to find herself a husband…

The Weatherford Ball is the last chance Julia Beaumont has to escape the clutches of her horrid stepmother. Any potential husband will do—rich, poor, even a reasonably well-groomed walrus. But all of Julia’s matrimonial chances are completely obliterated…thanks to the actions of an infuriating and utterly rakish duke.
Gregory Carter, Duke of Ashworth, would never risk his cherished bachelorhood by flirting with marriage-starved debutantes. But one look at the luscious and refreshingly clever Julia, and he simply can’t resist a stolen kiss—scandal be damned. Then just as things start getting deliciously interesting, the lady flees…leaving only a slipper behind.
And it must have been one dandy of a kiss. Because now Julia has proposed to him. After all, the lady needs a husband, and this roguish duke will certainly do. It’s simply a matter of making him the perfect scandalous offer…