If the area in question is Hadfield town, then new St is still there
Hi, it's me, from the other 'Bowler' family. I tracked it down whilst doing my Maternal side; even the Local Studies Dept. didn't know where it was.
One piece of evidence I have:
From the books of Chesterfield photographs compiled by Roy Thompson. "John Henry Waterhouse was a professional photographer who lived in Hadfield Town by the Queen's Park".
"Baden Powell Road curves down from the bottom [of the picture] and, as Park Road, passes Hadfield town next to the Queen's Park".
The Queen's Park is at the top. Park Road runs left to right. Hadfield town are the houses which come off Park Road.
The photo was c1939.