There seems to have been a Hart drapery dynasty in the north west.
The item linked in reply #5 says that the shop was owned by Albert Hart, who was born ~1900.
in 1921 this Albert Hart is with his family:
father John Thomas Hart, draper
Albert is 25, drapers assistant working for J T Hart, draper
tracing John T Hart back to 1891
father Richard Hart draper
another son James Hart, 20
And following James Hart forward to 1901 he is a market draper.
Which all fits nicely with this snippet from Kelly's Directory 1924 (but does Hart and Levy fit in somewhere?)