Regards the building itself, the recessed positioning of the sash windows certainly indicates construction post 1774 as patterns generally followed the fashions of the London Building Act of that year.
My other significant clue is the hob grate in the back room on the second floor: The first variations of these grates appeared in the 1720s. By 1780, hob-grates had become hugely popular. By 1810 the situation had changed markedly and new, heat efficient grates were prevalent.
So perhaps a window of construction between 1774 and 1810...