I think the note creator is referring to just the small section where the note is. It seems to have its own code-point-open postcode NG17 9HY

Reform Street is certainly correct for the longer section parallel to Fox Street NG17 9HZ confirmed by OS OpenData StreetView (April 2016) and OS OpenMap Local (October 2022) neither of which currently mentions Cutts Row. 

I have no reason to question the anonymous note but it is a little too far away for me to check on the ground. Based on the separate postcode would expect the the note is correct