Lady Graceless by Kate Archer

He’s shipwrecked himself on a beach. She happens to be standing on that beach. A beginning that dreams are made of, had he not a cousin who wants his title.

The Duke of Pelham is once more poised to bring the Nicolets to London and assault society once more. He’s got seven daughters to get rid of, and now he’s on to number two. Lady Grace Nicolet will make her debut. Unfortunately, she has the unique ability to find herself on the floor at the most awkward moments. She lives in terror that people will notice her clumsiness and make a joke of her name.
As the Nicolets set off from the Yorkshire Dales, the duke has the idea to meander to the coast so his girls might get their first glimpse of the sea. On arrival, they get more of a view than they’d anticipated. Miles Delatore, Viscount Dashlend, eldest son of the Earl of Gravesend, has spent two days adrift in his sloop and has just washed up on the beach. A duke’s daughter on her way to Town to find her husband encounters the heir to an earldom? They find each other wildly attractive and exceedingly genial? There is every reason in the world that a match should proceed.