Ancestry has initiated a volunteer project to index these records under their World Archives Project. According to the Ancestry blog:
"The London, England, School Admissions and Discharges, 1841-1911 were released last week – there are currently 350 contributors working on the project and they have already keyed 65,000 records! This collection is comprised of records for millions of students (names and birth dates) who attended school in London for a time period spanning over 150 years. Many times the records also include the names of the students parents so there is a wealth of knowledge available in this collection. These records are handwritten but are recorded in easy to follow forms. For additional information about this project you can refer to the Project page, the help article, or message board."