Me again!!!
Knockwalloch is indeed a farm on the edge of KPD. Knockwalloch means the Hill of Walloch.
Further investigation turns this up, from The Book of Kirkpatrick Durham by Stark,p118:
"Dr Lamont (Reverend in parish)....bought...Knockwalloch in his own parish. Upon the latter he built a large house, which he named Durhamhill. It was built around 1820".
Knockwalloch is still a farm, as is Durhamhill.
Re the Quaker connection - a very common name around Corsock was/is McQuaker- I knew quite a few of them, mainly farmers.
Hope this helps.