An orphanage was a place where orphaned children were cared for.
Robert was brought to an orphanage when he landed in 1956 at Christmas time. (PROSE: The Little Drummer Boy)
In 1965 Scotland, twelve orphans were removed from an orphanage called Holly Tree Lodge, ostensibly being taken to another orphanage, Harbour Heights, but instead they were given to the 456 by Captain Jack Harkness in return for an influenza vaccine. The orphans were chosen because they "wouldn't be missed." (TV: Children of Earth: Day Four)
In 1969 Florida, Graystark Hall Orphanage was mostly deserted, being used by the Silence to house Melody Pond. (TV: Day of the Moon)
By 2010, Ben Jackson and Polly Wright ran an orphanage together in India. (TV: Death of the Doctor)
Nina lived at an orphanage called Ambrose Hill. (TV: School Reunion)
The orphaned Blakely children were taken to a police station on Carthedia which also acted as a poorly-kept orphanage when the Eleventh Doctor, acting as their guardian, was arrested for a hate crime by claiming the Daleks were evil. The Doctor used the time he was given to say goodbye to the children to break down the walls with his sonic screwdriver and he and the children then fled the pursuing police forces. (PROSE: The Dalek Generation)
In the 2410s, Martian-born Darzil Carlisle was relocated to an orphanage in Finchley, north London, at the age of three following a freak airlock accident which killed his parents. (AUDIO: The Game)