presumably "Dansk Glas 1825-1925" by Larsen Riismoller & Schlüter, as mentioned by Ivo, would cover tumbler shapes such as this, although I believe written specifically for Danish material - but since I don't have the book then can't say for certain.
Doesn't seem to be anything similar specifically for U.K. glass - but shapes are fairly universal, so the above would help to date.
There is a small booklet by John A. Brooks 'Glass Tumblers 1700 - 1900' which is worth having, but you don't get very much info. in only 40 pages., but a good general introduction to tumblers, with a readable text - so many books simply have captions which are limited to dating and probable origin.
The Delomosne catalogue covering the March 2008 Loan exhibition 'Rare English Tumbers 1750 - 1830', is o.k. if you can afford to collect the very top draw pieces, but is restricted to English only.
Tumblers are great value for money and you get some good history, and they're almost endless in variety - some with exceptionally high quality engraving.