think this might still be Burton
"Burton corporation adopted the 1892 Public Libraries Act in 1895, and in 1897 it opened a free library on the ground floor of the Burton institute building in Union Street. (fn. 6) Open access to books was introduced in 1920. (fn. 7) The building was demolished after the present library was opened in 1977, on the site of a Bass malthouse set back off the east side of High Street. (fn.
From: 'Burton-upon-Trent: Social and cultural activities', A History of the County of Stafford: Volume 9: Burton-upon-Trent (2003), pp. 147-156. URL:
http://www.british-history.ac.uk/report.aspx?compid=12344 Date accessed: 12 January 2010."
I expect that the current library will still have details of the old building. If you google "burton union street free library and reading rooms" the first link has more history but I could only access the cached page.
It would appear that the photo dates from 1897 at the earliest.