I don't know what the Birkenhead School Board is about, but did find two years that may be of importance to it.
1893 School Board appointed
1902 Education Committee took the place of the School Board
http://www.birkenheadhistorysociety.org.uk/page5/page14/page8/page8.htmlOr maybe one of the following titles is more appropriate?
Conway Street Secondary Modern for Girls Conway Street Birkenhead
Conway Street Secondary (Conway Street, Birkenhead)
Conway Street Higher Elementary School Birkenhead 1905-1925
Girls Secondary School Birkenhead 1910-1945
Conway Street Central School Birkenhead 1925-1951
Hamilton Middle School Conway Street Birkenhead