Battle Bridge 1810
You can search the historical London and Pub wiki sites by surname, street name, district etc.

London Robsons Street Directory in 1832 - Hungerford market, Strand

Robsons 1832 directory index

This is the earliest street directory I have found so far which also includes pub history detail.

Hungerford market, Strand
White Horse, Hemington S
5 Lee Michael
6 Defoe James
Harvey R
Crabtree John
Globe
Watermans Arms
4 Phillips James
Swan, Phillips M
7 Webb Ann
8 Farlow A
Rickman James
Three Jolly Butchers, Nicholls Charles
Bulls Head, Camp James

And Last updated on: Friday, 22-May-2020 14:37:22 BST
And in comparison from 1842, although with no links as it is an image. It does include much more detail about trade details rather than in 1832.

2 - 19 Hungerford market 1842 Robsons street directory
2 - 19 Hungerford market 1842 Robsons street directory
20 - end of Hungerford market 1842 Robsons street directory
20 - end of Hungerford market 1842 Robsons street directory

London pub history directory.