In 1887, John Bartholomew's Gazetteer of the British Isles described Oakham like this:
Oakham, market town, par., and county town of Rutland, 13½ miles W. of Stamford and 96 miles from London by rail - par., 3130 ac., pop. 3227; town (comprising the townships of Oakham Deanshold and Oakham Lordshold), pop. 3204; P.O., T.O. Market-days, Thursday and Saturday. Oakham is situated in the fine vale of Catmose, and is a healthy and well kept town. Its trade is chiefly in coal, corn, and malt; while there are considerable mfrs. of boots and shoes, and fancy hosiery. Brewing is also carried on. Oakham is the assize town of Rutland.
GB Historical GIS / University of Portsmouth, History of Oakham in Rutland | Map and description, A Vision of Britain through Time.
Date accessed: 28th 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 " Oakham ".