If William had recently left the Navy after 27years service I would think it would be later than1935. William would be c. 16 years of age when WW1 broke out in 1914 -if he joined the Navy then and was in for 27 years -then it would be nearer 1940. Alot of that area was bombed during WW1.
I have also read where the Builders Arms was built 1864 and rebuilt 1891-2 on Stebondale St at the junction of Billson St . William's address was Bilston St in 1936 - so the shop may have been somewhere near the pub -which apparantly was a "large building"
Electoral rolls have William Albert leverton at:
1918 11 Seyssel St Poplar with Arthur lewis Justice
1930 11 Seyssel St with Elizabeth may Leverton, henry George leverton, Horace Arthur martin and Maud martin
1932 25 Stebondale St -previously posted
1933 ditto ditto
1934 25 Stebondale St William is absent , present are Alice Alexandra carmichael, jessie Elizabeth carmichael, Robert neil carmichael and Margaret leverton
1935 25 Stebondale St William Albert is absent -present are Alice Alexandra Carmichael, Archibald Carmichael. Jessie Elizabeth carmichael and margaret leverton
1936, 37, 38 they are at 7 Billson St
1839 7 Billson St is margaret Rebecca leverton, William Albert leverton, Annie Clark macDonald, Albert Southerton
Hope this helps in some way.
Suz