In 1870-72, John Marius Wilson's Imperial Gazetteer of England and Wales described Barmpton like this:
BARMPTON, a township in Hanghton-le-Skerne parish, Durham; 3 miles NNE of Darlington. Real property, £2,307. Acres, 1,520. Pop., 127. Houses, 24.
A Vision of Britain through Time includes a large library of local statistics for administrative units. For the best overall sense of how the area containing Barmpton has changed, please see our redistricted information for the modern district of Darlington. More detailed statistical data are available under Units and statistics, which includes both administrative units covering Barmpton and units named after it.
GB Historical GIS / University of Portsmouth, History of Barmpton, in Darlington and County Durham | Map and description, A Vision of Britain through Time.
Date accessed: 10th December 2013
Click here for more detailed advice on finding places within A Vision of Britain through Time, and maybe some references to other places called "Barmpton".