Since posting I googled Brook St, Nottingham and noticed the development that had gone on. I also noticed a few street names that had cropped up when searching Wright's Directory.
In Wright's, listed under Brook St, are Beck St, Cowan St, Corn St, Parrot's Place, Freeman St, Independendent Hill, Virginia St, Nile Row and Nile St - in that order.
The google map continues to show Beck St with Brook St running off it. Cowan St then runs off to the left and much further along Nile St runs off to the right. Those that came in between appear to be history.
regards