Nearest I can find in Gazetteer is Coppingford, par. and vil. in co. and 7 miles NW of Huntingdon; 829 ac., pop. 29; eccl. dist., 128.
You might get some information about that place in Genuki:http://www.genuki.org.uk/big/eng/
Such a small place may well not show on current maps.
ps - there is also a Copping Syke, par. Holland, S. Lincolnshire, 7 m. NW of Boston; 475 acres pop. 17; eccl. dist., 11
Also a Copping Green, ham., E. Essex, 1 m. WNW of Clacton
The Gazetteer was first printed in 1931 so some earlier small places may have disappeared by then.