In 1887, John Bartholomew's Gazetteer of the British Isles described Glenrothes like this:
Rothes, vil., in par. and 1 mile W. of Markinen, Fife; has a papermill.
The location is that of Glenrothes town centre, on modern maps.
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 Glenrothes has changed, please see our redistricted information for the modern district of Fife. More detailed statistical data are available under Units and statistics, which includes both administrative units covering Glenrothes and units named after it.
GB Historical GIS / University of Portsmouth, History of Glenrothes in Fife | Map and description, A Vision of Britain through Time.
Date accessed: 28th February 2015
Click here for more detailed advice on finding places within A Vision of Britain through Time, and maybe some references to other places called "Glenrothes".