I've got an OOC 1958 OS scan in front of me, sheet SP5105, courtesy of the University Estates Directorate that identifies what's now Faulkner Street and the paths it opens onto as Commercial Road, and the path of the pavement in front of the Wharf House as Friars Wharf (it connected at ~90°). This was before the extension of Thames Street and the new houses to its S.

https://en.wikipedia.org/wiki/St._Ebbes

The problem is that this are was razed in the 50s and 60sand all of the street names changed. Old names aren't particularly useful here.