Caution...the well is situated in the garden of a private house so shouldn't be viewed from the owner's land. It can be seen from the public footpath, albeit with a slightly blocked view.
The well can be found to the West of Kirkland, on a street called Anchorite Fields. Originally this area of Kendal was open fields....indeed a map of Kendal dated about 1868, shows the Anchorite Well and Anchorite House standing alone in fields, with the nearest house some 500 yards or more away to the North East. These days though, the house and the well are surrounded on all sides by houses and streets.
The well can still be seen today, and the stream that it feeds has been incorporated into nearby gardens as it runs North...as shown below. This stream is called Cop Beck, and eventually ends up in the River Kent to the North East.
"4 December. Commission to the Prior of Cartmel to confine Alice Skawseby in a certain house built for anchorites near the church of Kirkeby in Kendall." Whether this was a punishment or a request from Alice Skawseby, I don't know.
As more information becomes available about this intriguing site, I'll post it here.