Rhyl Street was indeed bombed, on the night of 21/22 December 1940. It was hit by one of a stick of bombs that straddled the area between Watson Street and Conway Street, causing damage in Watson Street, Rhyl Street, Romilly Street, and Dacre Street, and on both sides of Conway Street. One of the bombs was the one that hit the Ritz Cinema, killing five people.
Payson Street actually ran between Livingstone Street and Vittoria Street, but I don't think I've ever seen a photo of it.
I posted a couple of colour photos of Jackson Street
here; I think I've also got a few B&W ones, so I'll add those here at some point.