https://www.oxfordhistory.org.uk/broad/buildings/index.html and https://www.oxfordhistory.org.uk/broad/history/directories/1937_kellys.html suggests that it's a historic name, and that the route *probably* passes through the left (facing) edge of the current ItaliAmo cafe building. When I looked t'other day, there was no sign up with its name.

There is still a passage. Can't completely be sure it's the same one, however. The alignments are pretty screwy here.