Unfortunately a lot of the buildings of upper cox st, including, I think, no 27, were already demolished by the time I visited it, so I have no picture. Its position can be seen in the c 1889 map below in red.
There is no shop listed in directories around then at no 27, indeed it is not listed at all, which would indicate that it was probably a private dwelling. Similarly there is no Amelia Wright listed as a shopkeeper. However she might have run the shop although the shop was listed under another name, possibly a relative. Small Sweet shops are usually listed in directories under "shopkeepers, rather than confectioners or any other term. There are two Wrights in this category nearby, and Edward Wright at 10 Gooch st, and a better possibility, a George Wright at 163 Balsall Heath Road, which is the blue building just round the corner from Upper cox st.