The wonderful Birmingham history forum has produced more info for us on the exact location of Amelia Harris' home in 1851.
One of the members kindly marked the exact home. This map is from 1889 but he assured me that there probably wouldn't have been any changes during the 30+ years since she lived there. Remember, you can click on the map to look at it bigger. The smaller buildings would have been common areas that the residents of the court would have shared (loo, laundry, etc.).