In the absence any further word, it is impossible to ascertain what was sold in these stores.
Various editions of The Post Office London Directory give us the names of people living at this address and their profession. In the early 1880s the premises were occupied by John Ward & Son, tailors. The same profession was carried on by Charles Henderson, who lived there between the mid-1890s and the turn of the century. Finally directories from the first half of the 1910s list Thomas Henry Smith and then Florence Annie Smith (probably his widow), who both carried on as grocers. Could one of them have paid for the sign? Or was this sign painted later?
Location: Talbot Road