Not sure exactly what you are looking for but did some googling;
Also I have no idea what a VCH is
KIRK-LINTON, or Kirk-Levington, a parish in Longtown district, Cumberland; on the river Line, 4 miles ESE of Longtown r. station
https://www.cumbriacountyhistory.org.uk/township/kirklinton-middlepart of barony of Levington, given in early 12th century to Richard Boyvill, whose posterity took name de Levington. After death of Levington heiress, Helewise (d. 1272), wife of Eustace de Balliol, manor passed to six co-heiresses, eventually descending to Musgraves of Hayton, who sold it to Edmund Appleby in 1661; he built core of Kirklinton Hall. His son Joseph Appleby married co-heiress of Dacres of Lanercost and their descendants took surname Dacre. Kirklinton passed to Rev. William Dacre (1827-1903), who sold it to George Graham Kirklinton before 1900. Kirklinton-Saul family greatly enlarged Kirklinton Hall 1875.
Also;
(or Kirk Levington) a parish in Eskdale ward, Cumberland.
The current St. Cuthbert's was built in 1845 though there has been a church on the site since at least 1374***. It has some Norman features and medieval gravestones form part of the tower structure.
St. John the Baptist at Blackford was built around 1869.
http://www.stevebulman.f9.co.uk/cumbria/1901/kirklinton.html+ if you google kirklinton parish history there is a pdf by Hugo Fox
Trish