According to both OS Open USRN and OS Open Roads, the road name is Maidenstone Hill from Blackheath Hill to 31/33 Dutton Street, then continues to the junction with Point Hill. There's also a spur connecting to Dutton Street further up ( https://www.openstreetmap.org/way/10403268 ).

This appears to be one of those anomalies where house numbering and street naming conflict. I think that https://www.openstreetmap.org/way/1466481490 could be tagged with:
name=Maidenstone Hill
name:right=Dutton Street

Several existing streets have been renamed, which may explain some of the confusion.
https://maps.nls.uk/geo/explore/side-by-side/#zoom=19.4&lat=51.47335&lon=-0.01296&layers=168&right=osm
https://maps.nls.uk/geo/explore/side-by-side/#zoom=19.4&lat=51.47335&lon=-0.01296&layers=173&right=osm