Was this an orphanage? Yes and no. It started out as a reform school but in practice it evolved into an orphange.
"Most homes for dependent children in St. Louis between 1850 and 1870 were church affiliated. The notable exception to this was the House of Refuge, chartered by the State of Missouri in 1851. In theory the House of Refuge was a progressive social reform intended to preserve society’s juvenile offenders from the influence of hardened criminals. In brief, it was a reform school. In practice, the House of Refuge became a residence for indigent and orphaned as well as delinquent boys and girls in St. Louis. The Journal of the House of Refuge for the years 1854 to 1899 may be read at the Missouri Historical Society. The Journal has an alphabetized index. The entry for each resident lists the date of entry, the name, the cause, or by whom placed, the date of departure, to whom released and the relationship, if any."
This is from the website:
http://genealogyinstlouis.accessgenealogy.com/greenwood.htm David in Pennsylvania