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Robsons 1832 directory index
This is the earliest street directory I have found so far which also includes pub history detail.
Archer street, Great Windmill street, Haymarket
1 Dunage John
1 Haynes Deborah
3 Hook Thomas
6 Fone James
9 Higgins Robert
10 Purchas Elizabeth
11 Hall John
12 Reitz G & William
15 Dale & Bell