Best modern map of centre of Barton Parish that I have found is -

http://www.streetmap.co.uk/streetmap.dll?G2M?X=348745&Y=526345&A=Y&Z=4

the arrow in the centre points towards Barton Church.

A Map of the Roads between Penrith and Ullswater, scale about 10 ins to 1 mile, by James Clarke, engraved by S J Neele, 352 Strand, London, plate 3 in A Survey of the Lakes of Cumberland, Westmorland, and Lancashire, published by James Clarke, Penrith, Cumberland and in London etc, 1787.  can be viewed at

http://www.geog.port.ac.uk/webmap/thelakes/html/maps/cl03.htm