A good place to start is the large scale 1853 OS map (available for this area as
Kingston Upon Hull Sheet 7 "Hull (Prospect Street) 1853" from
www.alangodfreymaps.co.uk at a very reasonable price): It shows Amity Court with its entrance arch in North Street with two rows of houses (six either side of the "yard") extending towards Brook Street not far from the "back" of Prospect Street.
The map doesn't show any other adjoining properties "back-to-back" as some of the more crowded courts did. Photos of the last remaining of these early 19th C. courts taken by the council health department in the 20's and 30's show how "hemmed-in" they often were (Hull CC photo collection which was "on line" but links never seem to work!). I would suggest a single outside tap (for the whole court) and no on-site sanitary facilities, no privacy!
Later court housing was built with an alley entrance rather than an archway through a property on the "main" road. The notes to the smaller scale OS map Hull (NE) (Yorkshire Sheet 226.15)which covers most of Sculcoates mention this.
By the way, talking of the Hull CC photo collection- there some shots of the bus station being built in the 1930's and these show Jameson's mill in the background (good luck trying to view them, though!).