This building was erected during his reign.
Site: Trinity House (4 memorials)
EC3, Trinity Square
Trinity House, was designed by architect Samuel Wyatt and built in 1796. The following year the Great Tower Hill Act enabled the creation of Trinity Square Gardens.
The magnificent building to the left of this one is the Port of London Authority HQ. We don't cover it since we couldn't find a memorial on it but we can direct you to Ornamental Passions who have done it proud.
Incidentally, we know of two sculpted lighthouses in London: on the facade of the old Abbey Nat building in Baker Street and on the corner of 42 Moorgate, another financial body. Not to forget the King's Cross Lighthouse building.