Robsons 1832 directory index
This is the earliest street directory I have found so far which also includes pub history detail.
The White Bear is at 66 King William street by 1836
Great Eastcheap, Fish street hill
19 Tatchwell & Clarke
20 Marriott W John
21 Stephenson & Hale
22 Abell William
23 Huxley Robert
24 Shelton & Son
25 Wickendon Thomas
26
White Bear, Collis John
28 Smith Joseph
28 Brooks George
