Hi....
I have had a look at the 1851 image and it looks like Comptstall to me, which is Compstall.
Compstall is near Marple Bridge, Stockport, Cheshire and is an area which could well have once counted as Derbyshire, being near the county borderline.
On the 1861 census, Alice's place of birth is Bugsworth, Derbyshire...which later changed its name to Buxworth...which is about 2 miles away from Whaley Bridge.
Hope this helps.