land registry didn't come in to being until the late 1920's, so not sure they would have details of who owned a property.
The "doomesday" books, which was a survey of the whole of the country in 1910 ish would give you the name of the owner of the house, the name of the persons living in the house, the ratable value and then the books tie in with scheduals and maps giving further information which can be interesting.
You need to contact Birmingham record office to see what they hold. It would giuve you an idea of least how much the property was worth and the layout