Hiya
Just checked Kelly's 1933 Hull Directory and he's listed as follows -
BROOKS, Ellis Edwd, Taxi Propr, 216 Hawthorn Avenue, TA 'DIRECT. TA Central 32590.
There are a number of spelling for the surname in the listings, ie Brook, Brooke, Brookes, and Brooks and your's is certainly the latter.
I have the dics for Kellys 1936 Hull Directory and Hull & distr. 1951 Trades Directory but nothing listed for him there.
Kind Regards
Debbie