I have found this thread so interesting and loved seeing the photographs. I found out recently that two very distant cousins lived at the Orphanage after their parents died. Harriet and Jane Dunn, born in 1861, were twins and the youngest of 8 children. Their mother died in 1863 aged 39, followed by their father in 1866, aged 42. Their eldest two sisters went into service, the two oldest boys went to live with two maiden aunts and the youngest boy was admitted to the local Bluecoat School (I haven't discovered what happened to the third girl).
Harriet and Jane were living at the Orphanage in 1871 and both subsequently went into domestic service. Jane stayed local, working in Erdington in 1881 and Edgbaston in 1891. Harriet was much more widely travelled, working in Teddington, Middlesex in 1881 and Huddersfield 1891.
I think they must have stayed in touch with their wider family as, in 1901, they are back living together with the two maiden aunts who had taken in their brothers over 30 years previously, where they remained until their deaths.