Note* Forgive me for saying earlier that Annie Louisa was a potential sister. I must have put something in wrong on the database, as looked again & her mother was surname Mason.
The last 2 finds look as though the boys may have lost both parents & are orphaned...
However, back then, I'd only looked up to 1871 when the lads were put into the home...But now see there is a marriage Sept Quarter 1872 for a James Fitzjohn Whitechapel district...
So it may turn out that they could have been abandoned by a parent. (as, sadly most BHC actually were) We may not be able to solve the mystery of parents.
What information did you or other members of your family get from the Mile End institution that James & William a.k.a. John were in???