I think John may be right. The vill was a medieval unit of administration which would have been larger than the later area of Stricklandkettle. Angus
Winchester is the authority on this - he wrote an article in the 1978 Transactions of the CWAAS about vills in West Cumbria. I think he has also written about Stricklandketel but I can't give you the reference.
Thomas
Machell mentions Thornbarrow
Hall in Undermillbeck in 'Antiquary on Horseback', written in the late 17th century:
'There is also a tenement which does suit at (Windermere manor) court called Thornbarrow
Hall. It pays quit rent and greenhew to the King and five shillings per annum rent to
Lord Wharton of
Wharton Hall. This has belonged to, and been built by, the Thornbarrows - whence it is that we have their names, arms and pictures in the church windows'. (Windermere
Parish Church at
Bowness).
I think the Thornbarrows had probably gone a long time before, as no person or property of that name appears in the parish registers certainly after 1640. It is still there, if you google the name.