there is just the singleton entry from St Mathews
father WM TOZNEBE HARMSTON dau FLORENCE MARY bapt 10 FEB 1856

in the 1857 directory (not yet complete on my site) is under lodging houses - Wm Harmston 7 spring gardens douglas
he may well have another occupation as keeping a lodging house was often a sideline
he does not appear to be in the 1852 directory