In 1870-72, John Marius Wilson's Imperial Gazetteer of England and Wales described Fullaway like this:
FULLAWAY, or Fullway, an extra-parochial tract in Devizes district, Wilts; 4 miles ENE of Devizes. Pop., 20. Houses, 4.
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 Fullaway has changed, please see our redistricted information for the modern district of Kennet. More detailed statistical data are available under Units and statistics, which includes both administrative units covering Fullaway and units named after it.
GB Historical GIS / University of Portsmouth, History of Fullaway, in Kennet and Wiltshire | Map and description, A Vision of Britain through Time.
Date accessed: 05th December 2016
Click here for more detailed advice on finding places within A Vision of Britain through Time, and maybe some references to other places called "Fullaway".