JenB,
The property in which she lived and operated is right next to an area shown as Sparrow Hill on the 6" OS map and Sparrow Hall on the 25" OS map, so I think "Sparroe" is either a misspelling or bad handwriting. Either way, I am delighted because the Trade Directory mentioned the beerhouse name and then your contribution effectively confirmed it.
In 33 years of researching, I had never come across a reference to a beerhouse of that name or even a beerhouse in that area. Now, I have two references in as many days and a "new" pub to add to my list
Neville