In 1870-72, John Marius Wilson's Imperial Gazetteer of England and Wales described Cavenham like this:
CAVENHAM, a parish in Mildenhall district, Suffolk; on the river Lark, 2½ miles N of Higham r. station, and 4½ SE of Mildenhall. Post Town, Tuddenham, under Soham. Acres, 2,630. Real property, £1,270. Pop., 229. Houses, 48. The property is divided among a few. Cavenham Hall is the seat of the Waddingtons. The living is a vicarage in the diocese of Ely. Value, £113. Patron, the Lord Chancellor. The church is a neat small edifice, with a tower. Charities, £43.
GB Historical GIS / University of Portsmouth, History of Cavenham, in Forest Heath and Suffolk | 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 " Cavenham ".