St Luke's Street was part of the dense terraced housing in the Victory area of Bolton, dominated by Atlas Mills. You can see a glimpse of No2 Mill at the Atlas complex in the right hand side of Hampson's painting. The street was off Chorley Old Road and ran beside the mill complex.
On the corner of Chorley Old Road and St Luke's Street stood the Kings Arms pub and St Luke's C of E Church (see photo). The pub closed in 2010 (although the building remains as commercial premises). The magnificent church burned down in the 1970s, and was replaced with a somewhat less impressive bungalow church. The Bolton Steam Museum and Morrisons supermarket now stands on the Atlas Mill site.
This painting is featured as Fig 32 in Stephen Whittle's book "Roger Hampson: A Lost Landscape".