In 1870-72, John Marius Wilson's Imperial Gazetteer of England and Wales described Felling like this:
FELLING, a large village and a chapelry in Yarrow parish, Durham. The village stands on the Northeastern railway, 1½ mile SE of Gateshead; increased recently from two hamlets to its present condition; is maintained by factories and by mining operations; connects with Felling-Shore, a coal-shipping place on the Tyne; and has a post office‡ under Gateshead, a r. station, a church built in 1866, four dissenting chapels, and a Roman Catholic chapel. The chapelry was constituted in 1866. Pop., 5, 105. The living is a vicarage. Value, £300. Patrons, Five Trustees.
GB Historical GIS / University of Portsmouth, History of Felling, in Gateshead and County Durham | Map and description, A Vision of Britain through Time.
Date accessed: 29th April 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 " Felling ".