In 1870-72, John Marius Wilson's Imperial Gazetteer of England and Wales described Falinge like this:
FAILINGE, a hamlet in Spotland township, Rochdale parish, Lancashire; 1 mile W of Rochdale. Pop., with Healey, in 1851, 7, 981; in 1861, 9, 867. Houses, 2, 005. The increase of pop. arose mainly from the prosperity of the cotton trade.
The location is that named as "Falinge Fold" on the modern 1:25,000 map. It is also named, somewhat illegibly, as "Falinge" on our Ordnance Survey First Series map. Additional information about this locality is available for Rochdale
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 Falinge has changed, please see our redistricted information for the modern district of Rochdale. More detailed statistical data are available under Units and statistics, which includes both administrative units covering Falinge and units named after it.
GB Historical GIS / University of Portsmouth, History of Falinge, in Rochdale and Lancashire | Map and description, A Vision of Britain through Time.
Date accessed: 26th February 2017
Click here for more detailed advice on finding places within A Vision of Britain through Time, and maybe some references to other places called "Falinge".