https://www.visit-dorset.com/lyme-regis/explore-discover/history-heritage/jane-austen/
There is more at the above link but here is the basic connection to Austin that is mentioned in
"In Persuasion, Austen describes "the principal street almost hurrying into the water, the Walk to the Cobb, skirting round the pleasant little bay, which, in the season, is animated with bathing machines and company...are what the stranger's eye will seek."
On the whole, Austen seems to have been enthralled by the area as she goes on to describe "The scenes in its neighbourhood, Charmouth, with its high grounds and extensive sweeps of country, and still more, its sweet, retired bay, backed by dark cliffs, where fragments of low rock among the sands, make it the happiest spot for watching the flow of the tide, for sitting in unwearied contemplation; the woody varieties of the cheerful village of Up Lyme; and, above all, Pinny, with its green chasms between romantic rocks, where the scattered forest trees and orchards of luxuriant growth, declare that many a generation must have passed away since the first partial falling of the cliff prepared the ground for such a state, where a scene so wonderful and so lovely is exhibited, as may more than equal any of the resembling scenes of the far-famed Isle of Wight: these places must be visited, and visited again, to make the worth of Lyme understood."
A bit more. Even a Lassie dog got into the act at the Cobb/Lyme area.
https://www.visit-dorset.com/lyme-regis/explore-discover/history-heritage/
