From 1897 there was published a governmental "List of Quarries"; it became biennial around in the mid 1900s, and triennial from around 1915. It lists all quarries more than 20ft deep, whether worked continuously or occasionally, and lists, owner's name, type of rock worked, number of men employed, and some other basic details. It does not however state tonnage output.
If the partnerships that worked the quarries changed, then checking the London Gazette (free online access) would be worthwhile as it listed notices of changes to partnerships.
Local trade directories can also be useful but quarries are not consistently included, especially smaller rural ones.
The Annual Reports of H.M.Inspectors of Mines and Quarries will list any fatal accidents but otherwise quarries will rarely be mentioned.
Good luck with your research!