Hi, I am a librarian in Woodbridge, NJ. We do not have much info about the orphanage but I can tell you that St. Joseph's still exists - it is now St. Joseph's Senior Home Nursing Center and Assisted Living. They are located at 3 Saint Joseph Ter., Woodbridge, NJ 07095, 732-750-0077.
I don't know if they have records about individuals that stayed there. It seems to have opened as a orphanage in May 1929 and it stopped being an orphanage sometime around 1948 or so.
Hope this little bit helps.