One of the best links I have found on the WWW is
http://www.british-history.ac.uk/source.asp?pubid=310
on which is reprinted
The Later Records relating to North Westmorland
or the Barony of Appleby
Author: John F. Curwen Year published: 1932
Description: Contains abstracts and transcriptions of documents for the local history of the northern part of the county, arranged by parish. It provides information on churches, manors and schools, plus extracts from the Hearth Tax of 1669-72. Towns covered include Appleby, Brough and Shap. Published by kind permission of the Cumberland and Westmorland Antiquarian and Archaeological Society and Cumbria County Council.
The page especially concerning Barton [and Martindale & Patterdale] is