James Newton and Son's Tile Works, 78-9, Bankside, represent the Falcon Tavern at the foot of Falcon Dock.
The map I provided shows Falcon Drawing Docks very close to and east of the Blackfriar's Bridge next to Paris Gardens. This all jives with the Newton Drawing Docks references near Paris Gardens. James Newton's Tile Company probably used the docks for shipments and thus coined the name, Newton's Wharf.
Well, there's a Falcon draw dock and wharf next to Paris Gardens. And there's also a draw dock (unnamed) next to Nelson's Wharf. Plus a Newell's Wharf just East of Tower Bridge. And a couple of unnamed one. And my eyes are going funny. Time for bed.
Here is one more reference that pretty much seals the location, in my mind anyways.
No. 79 (Falcon Drawing Dock)
The Falcon Drawing Dock and the premises on the east side, No. 79 Bankside, are on the site of part of the Falcon Inn. They were leased to Messrs. Newton & Sons, firebrick merchants, the present owners, in 1833–4 by Messrs. Handasyde & Prickett, who had a lease from the Bishop of Winchester. No. 79, the office, was rebuilt in 1840 though it retains two patches of early 18th-century walling. The door and windows facing the dock on what now forms the main front, and those at the north end, are treated with classical mouldings. They date from the rebuilding.