There is an ARCHON directory Kendal RO detailing some of their holdings.
However there will also be some useful material at other record offices, especially Probate Records which will be found at Carlisle), Preston, York (Borthwick Institute) and London (National Archives). The Cumbria Archives catalogue is available online with guides for different record types.
In addition a separate page exists for Appleby the county town.
Local information is organised within Genuki by parishes as they existed in the C19th (according to the Phillimore Atlas and Index of Parish Registers 2nd ed., Chichester, Phillimore (1995).Genealogical material on Westmorland held in Kendal Library (and also Penrith Library) is described on the Cumbria Libraries Local Studies website.The Society of Genealogists Library in London also has much useful material.Since 1974 Westmorland has been incorporated into the present-day county of Cumbria together with Cumberland, the Furness part of Lancashire and a small part of the former West Riding of Yorkshire around Sedbergh.The name lives on in Appleby-in-Westmorland its former county town.