Coxe refers to an apparition of a female that “runs up and down stair, and sits and weeps and sleeks her hair”, which appears to originate from some piece of local poetry that may or may not have some basis in fact.
According to the author Coxe in 'Haunted Britain', the ghost is that of a woman who was cheated of her property deeds through marriage to an unscrupulous suitor who then ran off to America when he sold them. Unfortunately we are not provided with the location in Leedstown for this sad spectre.
For further information, please read Haunted Britain by Antony D. Hippisley Coxe.