Hi Jomot,
I have found the name of the orphan school. It was the Bayswater Episcopal Chapel Female Orphan School . I found it in an old book, digitized on Google Books: The Charities of London 1852-53, published 1854 London.
The address of this school matches that of the 1851 Census entry for the school run by Ann Manger and Jane Franklin, 9 Peterburgh Place. Apparently it moved to Victoria Grove Terr. before 1861.
At first, I jumped to the conclusion that an Episcopal Chapel was Wesleyan Methodist because in my American research I have found English Weslayans calling themselves Episcopal Methodists. I don't have time to look into the history at the moment, but whatever the denomination, the Bayswater school was a church charity school.
I snipped the short paragraph from the book and will try to attach it.
hth,
Carmela