Hi Julie
I've got 1942 Post Office London Directory, The Lady are at 38, 39 & 40.
At 34, Appleton D Century Co. Inc Publishers (then there's a break for Henrietta Street)
At 35 & 36, "Engineering", S W Jackson Accountants, S W Francis Rolling Shutters
At 37, Sands, Hunter & Co photographic material dealers, Sunbeam Tours Ltd Publishers
Also at 38, Capt B Ackworth DSO RN, Liberty Restoration League
Also at 39, Douglas McRae & co Chamois leather mfrs
Also at 39 & 40, E G Pearman Commercial Artists, Pearn Pollinger & Highham Literary agents
Then there's break for Maiden Lane.
So no actual publications shown but a couple of publishers.
Don't have anything earlier though.
Dawn