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Thank you Ros for your kind and selfless service to so many Rootschatters

Couldn't agree more! Thank you Ros. 

There are also these from newspapers: some death notices after about 1835; and an advertisment for the sale of the Estate in 1843 which gives a description.

   Saturday,  Oct. 28, 1843, Westmorland Gazette

Sorry I can't be of more help.

I did mean to add though that there is this reference to Flakebridge and High Flakebridge

"(28). Flakebridge, house about 3˝ m. S.E. of the church, has remains of original windows and a doorway with a scrolled head on the lintel.
Condition—Poor.

(29). High Flakebridge, house 300 yards S. of (28), was built late in the 17th or early in the 18th century.
Condition—Poor."

from "An Inventory of the Historical Monuments in Westmorland " transcribed:
https://www.british-history.ac.uk/rchme/westm/pp187-191

Also

"HARDRES, of Hardres, Kent ...

This ancient family came from Ardres in Picardy (b), though it is uncertain whether they entered England before, or at the time of the Norman invasion ...

  Sir Thomas Hardres, Bart., who married Ursula, daughter of Sir William Rooke, Knt, and was buried at Hardres, leaving issue ..."

"The english baronetage: containing a genealogical and historical account of all the English baronets, now existing: their descents, marriages, and issues; Memorable Actions, both in War, and Peace; Religious and Charitable Donations; Deaths, Places of Burial, and Monumental Inscriptions; collected From Authentick Manuscripts, Records, Old Wills, our best Historians, and other Authorities. Illustrated with their coats of arms, Curiously Engraven, on copper-plates: with An Explanatory Index of the Terms in Heraldry, referring to the Arms. Also Correct Lists; I. Of the Present Baronets, in the Order of Precedence. II. Of those who are now Peers of Great-Britain, or Ireland. III. Of those Foreigners, who have had this Dignity conferr'd on them. IV. Of those, whose Titles are now Extinct. Likewise exact tables of precedence; Particularly with Respect to the Wives, Sons, and Daughters, of Baronets, and Knights. To whic are added, an account of such Nova-Scotia baronets as are of English Families, now Resident in England: and a list of such persons Names who were deemed Fit and Qualified, at the Restoration, to be made Knights of the Royal Oak, with the Value of their Estates, as then given in. Vol. I"
Author: Thomas Wotton
Publication Date: 1741

This gazetteer has many references over the  years including a map from 1579 which includes the name Kellathe and "Building, symbol for a hamlet, which may or may not have a nucleus."
https://www.lakesguides.co.uk/html/lgaz/lk06295.htm