In 1872 Rev Burke was transferred from Castlejordan to Ballinasloe, in his home County of Galway. Emily was five years old. The family took up residence at a address on Dunlo Hill in the town. Rev Burke may have owned the property, as according to Griffiths Evaluation 16-18 was owned by a William Burke. Although it is impossible to say which house the family may have lived in because numbers change due to houses being built and demolished over the years. Below are a few houses that are possibly from the time Emily lived there.
Below is a view of Dunlo Hill as it is today.
Sources
http://archiver.rootsweb.ancestry.com/th/read/IRL-GALWAY/2003-01/1042002347